<div class="p"><!----></div>
This list contains the changes in the <font face="helvetica"><font size="+0">GAP</font></font> character table library
since the official upgrade for <font face="helvetica"><font size="+0">GAP</font></font> 3.4 in October 1996.
We denote mathematical errors by <b>***</b> and new information
by <b>NEW</b>.
We use <b>C</b> to denote changes that are not obviously corrections;
the number of these changes is kept small.
<div class="p"><!----></div>
<br /><br /><b>Release of <font face="helvetica"><font size="+0">GAP</font></font> 4.1 in July 1999</b>
<div class="p"><!----></div>
Changes are assigned to the simple group involved,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <sup>2</sup>E<sub>6</sub>(2)</td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The faithful characters of 2.<sup>2</sup>E<sub>6</sub>(2) and
2.<sup>2</sup>E<sub>6</sub>(2).2 mod 19 were corrected
(contributed by Jürgen Müller).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>13</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Indicators of A<sub>13</sub> and S<sub>13</sub> mod 2 are now known.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>14</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of A<sub>14</sub> mod 2, 11, 13 and
tables of S<sub>14</sub> mod 3, 5, 7 are now known.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>15</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
All Brauer tables of S<sub>15</sub> are now known
(contributed by Jürgen Müller).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>16</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
All Brauer tables of S<sub>16</sub> are now known
(contributed by Jürgen Müller).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>17</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
All Brauer tables except the 3-modular one of S<sub>17</sub>
are now known
(contributed by Jürgen Müller).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Co<sub>2</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The degree 156 538 character of Co<sub>2</sub> mod 2 is now
proved.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Co<sub>3</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
One more indicator of Co<sub>3</sub> mod 2 is now known.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> Fi<sub>22</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The faithful characters of 6.Fi<sub>22</sub> and 6.Fi<sub>22</sub>.2
mod 5
were corrected.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> L<sub>3</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The faithful characters of 12<sub>2</sub>.L<sub>3</sub>(4) mod 7 were
corrected.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>8</sub><sup>+</sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The degree 50 596 characters of O<sub>8</sub><sup>+</sup>(3) mod 2
are now proved.
Consequently, also the degree 101 192 of O<sub>8</sub><sup>+</sup>(3).2<sub>1</sub> mod 2,
the degrees 50 596 and 101 192 of O<sub>8</sub><sup>+</sup>(3).2<sub>2</sub> mod 2,
the degrees 50 596 and 151 288 of O<sub>8</sub><sup>+</sup>(3).3 mod 2,
and the degree 202 384 of O<sub>8</sub><sup>+</sup>(3).4 mod 2 are now proved.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> ON</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of ON and ON.2 mod 19 were changed
in order to respect the choice of classes in Robert Wilson's "Atlas of Group Representations".
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> ON</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of ON mod 11 and mod 31 are now known
(contributed by Markus Ottensmann),
as well as two new indicator values for ON mod 2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> Ru</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of Ru and 2.Ru mod 5 and mod 7 were changed
in order to respect the choice of classes in Robert Wilson's "Atlas of Group Representations".
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Ru</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of Ru and 2.Ru mod 13 and 29 are now known
(contributed by Frank Röhr),
as well as all indicator values of Ru mod 2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> S<sub>6</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The characters of S<sub>6</sub>(3) and 2.S<sub>6</sub>(3) mod 7 were
corrected;
these changes do not affect the tables of S<sub>6</sub>(3).2 and 2.S<sub>6</sub>(3).2
mod 7
(contributed by Jürgen Müller).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> Suz</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The faithful characters of 6.Suz and 6.Suz.2 mod 7 were
corrected
(contributed by Jürgen Müller).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Th</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of Th mod 19 is now known.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
The following changes affect several ordinary tables.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Whitespace at the end of <tt>InfoText</tt> strings was removed.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Various class fusions were added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Components <tt>tomidentifier</tt> and <tt>tomfusion</tt> were added
in order to provide a (preliminary) interface to
the library of tables of marks.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
In the library tables of alternating and symmetric groups,
the <tt>classtext</tt> components
(partitions parametrizing the conjugacy classes;
in some cases, this had been hidden inside the <tt>CAS</tt>
component of the table)
were replaced by values of the attribute <tt>ClassParameters</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The tables of L<sub>2</sub>(q) were added for those values of q for which
the table of marks of L<sub>2</sub>(q) is now contained in the <font face="helvetica"><font size="+0">GAP</font></font> library.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
In the library tables of symmetric groups,
the partitions parametrizing the irreducible characters
are stored on the tables,
as value of the attribute <tt>CharacterParameters</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The <tt>Identifier</tt> values of a few tables have been changed.
For example, the table of <tt>L4(3).2^2</tt> was previously known only as
<tt>psl(4,3).v4</tt>.
The old names are still valid.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The character tables with identifiers <tt>iu332</tt>, <tt>D2MJ4</tt>,
and <tt>P4L82</tt> were removed.
The former two tables were incomplete, the latter one was wrong.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The ordinary tables of all maximal subgroups
(and their class fusions)
are now available for the groups G<sub>2</sub>(3), J<sub>3</sub>.2, 2.M<sub>12</sub>,
M<sub>12</sub>.2, M<sub>22</sub>.2, and O<sub>8</sub><sup>+</sup>(3).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br />The following changes are assigned to specific simple groups,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> A<sub>6</sub></td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table automorphisms of 4.A<sub>6</sub>.2<sub>3</sub> were corrected.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Fi<sub>22</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup 2<sup>7</sup>:S<sub>6</sub>(2)
of Fi<sub>22</sub>.2 was added
(contributed by E. Mpono).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Fi<sub>22</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup 2<sup>6</sup>:U<sub>4</sub>(2).2
of the maximal subgroup 2<sup>6</sup>:S<sub>6</sub>(2) of Fi<sub>22</sub> was added
(contributed by E. Mpono).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> HS</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables (and fusions) of several normalizers of chains of
p-subgroups were added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> J<sub>4</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The classes and the characters of the maximal subgroup of type
2<sup>10</sup>:L<sub>5</sub>(2) were reordered,
and the identifier was changed from <tt>l52m10</tt> (from the <font face="helvetica"><font size="+0">CAS</font></font> library)
to <tt>2^10:L5(2)</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> McL</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the seventh maximal subgroup of McL.2 was added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> O<sub>8</sub><sup>+</sup>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The classes and the characters of the maximal subgroup of
type 2<sup>6</sup>:A<sub>8</sub> were reordered,
and the identifier was changed from <tt>mo81p</tt> (from the <font face="helvetica"><font size="+0">CAS</font></font> library) to
<tt>2^6:A8</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> O<sub>8</sub><sup>+</sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The fusions from O<sub>7</sub>(3) and 3<sup>6</sup>:L<sub>4</sub>(3) were changed
to the ones listed in the Atlas of Finite Groups.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>10</sub><sup>+</sup>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup 2<sup>8</sup>:O<sub>8</sub><sup>+</sup>(2)
was added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> S<sub>10</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the subgroup 2<sup>8</sup>:S<sub>8</sub>(2) was added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of 2.U<sub>4</sub>(3).(2<sup>2</sup>)<sub>122</sub> and 6<sub>2</sub>.U<sub>4</sub>(3).2<sub>3</sub><font face="symbol">¢</font
>
were added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br /><br /><b>Release of <font face="helvetica"><font size="+0">GAP</font></font> 4.2 in March 2000</b>
<div class="p"><!----></div>
Changes are assigned to the simple group involved,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>14</sub></td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633"> Table of S<sub>14</sub> mod 2 is now known
(contributed by Dave Benson, added by Jürgen Müller).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> A<sub>16</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Corrected principal block of the table of S<sub>16</sub> mod 2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> ON</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of 3.ON mod 11 and 31 are now known.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> ON</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of 3.ON and 3.ON.2 mod 19 were changed
in order to respect the choice of classes in Robert Wilson's "Atlas of Group Representations".
(This affects only the irreducibles of 3.ON of degrees 45090 and 77670.)
<div class="p"><!----></div>
The following changes affect several ordinary tables.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Various class fusions were added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The <tt>galomorphisms</tt> components which had been contained in only a few
tables were removed.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The <tt>tomfusion</tt> values of L<sub>2</sub>(25) and 2<sup>5</sup>:S<sub>6</sub> were corrected.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Element orders and power maps in the table with identifier
<tt>s61p</tt> were corrected.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The table with identifier <tt>2.cenc1</tt> was removed because it was
inconsistent.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Two instances of the table of (A<sub>6</sub> ×A<sub>6</sub>):2<sup>2</sup> were unified.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The tables with identifiers <tt>J2.2M4</tt>, <tt>2^(2+4):(3x3):2^2</tt>,
and <tt>2^(2+4):(S3xS3)</tt> were unified;
the identifiers <tt>J2.2M5</tt> and <tt>2^(2+4):(S3xS3)</tt> can be used to
access the table.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The ordinary tables of all maximal subgroups
(and their class fusions)
are now available for the groups S<sub>6</sub>, J<sub>2</sub>.2, McL.2, Suz.2,
3.Suz, 3.Suz.2, Sz(32).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br />The following changes are assigned to specific simple groups,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>6</sub></td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of 12.A<sub>6</sub>.2<sub>3</sub> is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> Fi<sub>22</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The name of the table of the 7-th maximal subgroup
of Fi<sub>22</sub> was corrected from <tt>(2x2^(1+8):U4(2)):2</tt> to
<tt>(2x2^(1+8)):U4(2):2</tt>;
similarly, <tt>(2x2^(1+8):U4(2):2):2</tt> was corrected to
<tt>(2x2^(1+8)):(U4(2):2x2)</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Fi<sub>22</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of the maximal subgroups 2<sup>10</sup>:M<sub>22</sub>:2 of
Fi<sub>22</sub>.2 and 2<sup>11</sup>.M<sub>22</sub> of 2.Fi<sub>22</sub> are now available
via the names <tt>Fi22.2M4</tt> and <tt>2.Fi22M5</tt>, respectively.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> U<sub>3</sub>(5)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table with identifier <tt>U3(5).S3</tt> was removed;
it is replaced by the table with identifier <tt>U3(5).3.2</tt>
whose cosets of the outer automorphism group are ordered as in the
Atlas of Finite Groups.
The identifier <tt>U3(5).S3</tt> is now admissible for the table with
identifier <tt>U3(5).3.2</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> U<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table with identifier <tt>u4q3c</tt> was removed;
characters and power maps of this table were erroneous.
Apparently the table was thought to be that of 3<sub>2</sub>.U<sub>4</sub>(3).2<sub>3</sub><sup><font face="symbol">¢</font
></sup>,
which can be accessed with the name <tt>3_2.U4(3).2_3'</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of 3<sub>2</sub>.U<sub>4</sub>(3).(2<sup>2</sup>)<sub>133</sub> and U<sub>4</sub>(3).(2<sup>2</sup>)<sub>133</sub>
are now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.0 in January 2002</b>
<div class="p"><!----></div>
Changes are assigned to the simple group involved,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>14</sub></td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of A<sub>14</sub> mod 3, 5, 7
and of S<sub>14</sub> mod 11, 13 are now known
(contributed by Jürgen Müller, using <font face="helvetica"><font size="+0">MOC</font></font> and the <font face="helvetica"><font size="+0">GAP</font></font> package
<tt>specht</tt>).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>17</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of A<sub>17</sub> mod 3 is now known
(contributed by Jürgen Müller).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> F<sub>3+</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
All Brauer tables of the maximal subgroup 3<sup>7</sup>.O<sub>7</sub>(3),
and the 2-modular table of the maximal subgroup
(3 ×O<sub>8</sub><sup>+</sup>(3):3):2 are available
(contributed by Gerhard Hiß).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>4</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of L<sub>4</sub>(4) mod 3, 5, 7, 17 are now known
(contributed by Gerhard Hiß).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Ly</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of Ly mod 37 and 67 are now known
(contributed by Jürgen Müller, Max Neunhöffer, Frank Röhr,
Robert Wilson).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>8</sub><sup>+</sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of O<sub>8</sub><sup>+</sup>(3).S<sub>3</sub> mod 2 is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of O<sub>8</sub><sup>+</sup>(3).S<sub>3</sub> mod 2 is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> S<sub>10</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of S<sub>10</sub>(2) mod 7, 11, 17, 31 are now known
(contributed by Gerhard Hiß).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
The following changes affect several ordinary tables.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The ordinary tables of the Schur covers of the symmetric groups
S<sub>14</sub>, S<sub>15</sub>, S<sub>16</sub>, S<sub>17</sub>, and S<sub>18</sub> are now available
(contributed by Gunter Malle).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The ordinary tables of all maximal subgroups
(and their class fusions)
are now available for the group 2.HS
(contributed by Ulrike Muthmann, Markus Ottensmann, and Frank Röhr).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The ordinary tables of all maximal subgroups
(and their class fusions)
are now available for the groups 2.Suz and 6.Suz
(contributed by Thomas Breuer and Frank Himstedt).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The ordinary tables of all maximal subgroups (and their class fusions)
are now available for the group S<sub>6</sub>(3).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br />The following changes are assigned to specific simple groups,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> E<sub>6</sub>(2)</td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the Chevalley group E<sub>6</sub>(2) is now available
(contributed by B. Fischer).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> F<sub>3+</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup
2<sup>1+12</sup>.3<sub>1</sub>.U<sub>4</sub>(3).2<sub>2</sub><sup><font face="symbol">¢</font
></sup> of F<sub>3+</sub> is now available
via the names <tt>2^(1+12).3_1.U4(3).2_2'</tt>, <tt>F3+M9</tt>,
and <tt>F3+C2B</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b></b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup
3<sup>3</sup>.[3<sup>10</sup>].GL3(3) of F<sub>3+</sub> is now available
via the name <tt>3^3.[3^10].GL3(3)</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> F<sub>3+</sub>.2</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup
3<sup>7</sup>.O<sub>7</sub>(3):2 of F<sub>3+</sub>.2 is now available
(contributed by Faryad Ali).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> HS</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The earlier (since <font face="helvetica"><font size="+0">CAS</font></font> times) stored fusion of
2 ×A<sub>6</sub>.2<sup>2</sup> into HS did not lift to 2.HS
and therefore was replaced by a compatible map.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>3</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of 2<sup>2</sup>.L<sub>3</sub>(4).2<sub>2</sub> is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>4</sub>(9)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of L<sub>4</sub>(9) is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> M</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup 2<sup>1+24</sup>.Co<sub>1</sub> is now available
(contributed by Simon Norton).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> S<sub>4</sub>(7)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of S<sub>4</sub>(7) and S<sub>4</sub>(7).2 are now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> S<sub>6</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup 2<sup>6</sup>:S<sub>8</sub>
of 2<sup>6</sup>:S<sub>6</sub>(2) (which is maximal in Fi<sub>22</sub>) is now available
(contributed by Faryad Ali).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> S<sub>6</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of S<sub>6</sub>(4) is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> S<sub>6</sub>(5)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of S<sub>6</sub>(5) is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> S<sub>12</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of S<sub>12</sub>(2) is now available
(contributed by Christoph Köhler).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> Suz</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The earlier (since <font face="helvetica"><font size="+0">CAS</font></font> times) stored fusion of
(3<sup>2</sup> :4 ×A<sub>6</sub>).2 into Suz did not lift to 3.Suz
and therefore was replaced by a compatible map.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of 3<sub>1</sub>.U<sub>4</sub>(3).2<sub>2</sub><sup><font face="symbol">¢</font
></sup> was added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>4</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of U<sub>4</sub>(4) is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>6</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the Schur cover (2<sup>2</sup> ×3).U<sub>6</sub>(2)
is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.1 in February 2004</b>
<div class="p"><!----></div>
The following changes affect several Brauer tables.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The p-modular tables of G.S<sub>3</sub> are available for all prime divisors
p of <font face="symbol">|</font
>G<font face="symbol">|</font
>, for G one of L<sub>3</sub>(7), 3.L<sub>3</sub>(7), U<sub>3</sub>(5), 3.U<sub>3</sub>(5),
U<sub>3</sub>(8), 3.U<sub>3</sub>(8), U<sub>3</sub>(11), and 3.U<sub>3</sub>(11).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
The following changes are assigned to the simple group involved,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Co<sub>2</sub></td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The indicators of the 36938 and 83948 in Co<sub>2</sub> mod 2 are +
(contributed by Jon Thackray).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Co<sub>3</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The indicator of the 88000 in Co<sub>3</sub> mod 2 is +
(contributed by Jon Thackray).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> J<sub>4</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of J<sub>4</sub>M1 mod 3 and 11 are available
(contributed by Christoph Jansen).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>8</sub><sup>+</sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of O<sub>8</sub><sup>+</sup>(3).S<sub>4</sub> mod 2, 5, and 7 are
available
(contributed by Christoph Jansen).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> ON</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of ON.2 and 3.ON.2 mod 11 and 31 are available
(contributed by Jürgen Müller).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> ON</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The indicator of the 25916 in ON mod 2 is +
(contributed by Jon Thackray).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Suz</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The indicators of 10504 in Suz mod 2 and Suz.2 mod 2
are +
(contributed by Jon Thackray).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
The following changes affect several ordinary tables.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The table automorphisms were corrected for the tables with the identifiers
<tt>A17</tt>, <tt>2.A4xS3</tt>, <tt>4.M22M6</tt>, <tt>3.2^(2+4):(3x3):2</tt>,
<tt>3^(1+6):2^(3+4):3^2:2</tt>,
<tt>5:4x2.A5</tt>,
<tt>D8xV4</tt>,
<tt>3.3^5.U4(2)</tt>,
<tt>3^5.U4(2)</tt>,
<tt>group3</tt>,
<tt>s61p</tt>,
<tt>2.(A4xA4)</tt>, <tt>3^3:A4</tt>, <tt>3^7.O7(3)</tt>, <tt>ThN2</tt>, and
<tt>2^2.2E6(2).2</tt>;
one reason for these errors were missing power maps.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The formerly admissible names <tt>c1</tt>, <tt>c2</tt>, <tt>c3</tt> for the groups
Co<sub>1</sub>, Co<sub>2</sub>, Co<sub>3</sub> have been removed, because these names are now
admissible names of cyclic groups.
The names <tt>c1m1</tt>, <tt>c1m4</tt>, <tt>c1m5</tt>, <tt>c1m24</tt>,
<tt>c1n3</tt>, <tt>c2m1</tt>, <tt>c2m2</tt>, <tt>c2m3</tt>, <tt>c2m4</tt>, <tt>c2m5</tt>,
<tt>c2m6</tt>, <tt>c2m7</tt>, <tt>c2m8</tt>, <tt>c2m9</tt>, <tt>c2m10</tt>, <tt>c2m11</tt>,
<tt>c2m22</tt>, (now called <tt>M22C2A</tt>), <tt>c2m24</tt> (now called <tt>M24C2B</tt>),
<tt>c3m1</tt>, <tt>c3m2</tt>, <tt>c3m3</tt>, <tt>c3m4</tt>,
<tt>c3m5</tt>, <tt>c3m6</tt>, <tt>c3m7</tt>, <tt>c3m8</tt>, <tt>c3m9</tt>, <tt>c3m10</tt>,
<tt>c3m11</tt>, <tt>c3m12</tt>, <tt>c3m13</tt>, <tt>c3m14</tt>, <tt>c3n2</tt>, <tt>c3n3</tt>,
<tt>c3n5</tt>, <tt>mcn2</tt>, <tt>mcn3</tt>, <tt>mcn5</tt>, <tt>om83</tt>, <tt>o8m2</tt>,
<tt>o8m2.2</tt>, <tt>o10m2</tt>, <tt>o10m2c</tt>, <tt>o12m2</tt>, <tt>rvn2</tt>,
<tt>s2m11</tt>, <tt>s2m12</tt>,
<tt>s2m21</tt>, <tt>s2m23</tt>, and <tt>s2m24</tt> (now called <tt>M24C2A</tt>)
were removed because they would refer to maximal subgroups of other groups
or of groups with nonadmissible names.
The names <tt>u4q3.s3</tt> and <tt>f22u3</tt> were removed, the table is now
available with the name <tt>S3xU4(3)</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The ordering of maximal subgroups was changed for A<sub>5</sub>.2, A<sub>6</sub>.2<sub>1</sub>,
J<sub>3</sub>.2, M<sub>12</sub>.2, and McL.2, in order to be compatible with the
<font face="helvetica"><font size="+0">ATLAS</font></font> of Group Representations.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The following class fusions were corrected.
2<sup>7</sup>:S<sub>6</sub>(2) onto S<sub>6</sub>(2) and into Fi<sub>22</sub>.2;
3.3<sup>1+4</sup>:4S<sub>5</sub> into 3.McL.2;
D<sub>8</sub> ×V<sub>4</sub> into HS;
3.2<sup>2+4</sup>:(3 ×3):2 into 3.McL, 3.2<sup>4</sup>:A<sub>7</sub>,
and 3.McLM10;
4.M<sub>22</sub>M6 into 4.M<sub>22</sub>;
G<sub>2</sub>(3)M6 into G<sub>2</sub>(3);
A<sub>5</sub>.2 into M<sub>12</sub>.2;
A<sub>11</sub>Syl2 into A<sub>11</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Missing power maps were added for the tables
<tt>suzs2</tt>, <tt>Fi22N3</tt>, <tt>RuN2</tt>, <tt>SuzN2</tt>, <tt>ThN2</tt>,
for L<sub>2</sub>(q), for various values of q,
and for <tt>7:3</tt>, <tt>23:11</tt>, <tt>11:10</tt>,
due to the availability of power maps in the underlying generic character
tables.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The tables of all maximal subgroups are available for
A<sub>5</sub>, A<sub>6</sub>, A<sub>7</sub>, A<sub>7</sub>.2, G<sub>2</sub>(4), L<sub>2</sub>(11), L<sub>2</sub>(11).2, U<sub>3</sub>(3).2,
U<sub>5</sub>(2).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Several ordinary tables were added for which the tables of marks of the
underlying groups are available in the <font face="helvetica"><font size="+0">GAP</font></font> Library of Tables of Marks;
this includes direct products and tables of small groups that can be computed
easily with standard methods.
The other way round, each ordinary table in the library for which the table
of marks is contained in the <font face="helvetica"><font size="+0">GAP</font></font> Library of Tables of Marks stores a
class fusion into the table of marks.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Several ordinary tables of Sylow normalizers in sporadic simple
groups are available, including the normalizers of cyclic Sylow subgroups.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The ordinary tables of G.S<sub>3</sub> are available for G one of
2<sup>2</sup>.L<sub>3</sub>(4), L<sub>3</sub>(7), 3.L<sub>3</sub>(7), 2<sup>2</sup>.O<sub>8</sub><sup>+</sup>(2), 3.U<sub>3</sub>(5), U<sub>3</sub>(8),
3.U<sub>3</sub>(8), U<sub>3</sub>(11), 3.U<sub>3</sub>(11).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The ordinary tables of L<sub>4</sub>(5), O<sub>7</sub>(5), O<sub>7</sub>(5).2, O<sub>9</sub>(3), S<sub>4</sub>(8),
S<sub>8</sub>(3), U<sub>4</sub>(5) are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Generic character tables are available for the double covers of
alternating and symmetric groups
(contributed by Felix Noeske).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br />The following changes are assigned to specific simple groups,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> A<sub>6</sub></td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The fusions of A<sub>6</sub>, A<sub>6</sub>.2<sub>1</sub>, 2.A<sub>6</sub> into the tables of marks
were changed in order to make diagrams of fusions commutative.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> B</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of the maximal subgroups of the types
3<sup>1+8</sup>.2<sup>1+6</sup>.U<sub>4</sub>(2).2 and (2<sup>2</sup> ×F<sub>4</sub>(2)):2,
and the table of the Sylow 7 normalizer are available,
as well as the table of the maximal subgroup of the type
(S<sub>3</sub> ×2.Fi<sub>22</sub>).2 in 2.B.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Co<sub>1</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the Sylow 5 normalizer is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Co<sub>2</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the Sylow 2, 3, and 7 normalizers are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Fi<sub>24</sub><sup><font face="symbol">¢</font
></sup></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of the maximal subgroups
3<sup>2</sup>.3<sup>4</sup>.3<sup>8</sup>.(A<sub>5</sub> ×2A<sub>4</sub>).2, 2<sup>3+12</sup>.(L<sub>3</sub>(2) ×A<sub>6</sub>), and
2<sup>6+8</sup>.(S<sub>3</sub> ×A<sub>8</sub>) and their class fusions are now available
(contributed by Alexander Hulpke).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of the Sylow 5 and 7 normalizer are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> HN</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup 4.HS.2 of HN.2 is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> HS</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of HS into Co<sub>3</sub> was replaced by one
that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> J<sub>2</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of 2.J<sub>2</sub>.2 into 2.Suz was replaced by one
that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of 2.HS.2 into HN was corrected.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> J<sub>4</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table with identifier <tt>(3^(1+2)x2).SD16</tt> is <b>not</b>
that of the Sylow 3 normalizer in J<sub>4</sub>; the name <tt>J4N3</tt> is no longer
admissible for this table (reported by G. Navarro and A. Moreto).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the Sylow 3 normalizer in J<sub>4</sub> is available,
via the names <tt>(2x3^(1+2)_+:8):2</tt> and <tt>J4N3</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> L<sub>2</sub>(11)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of L<sub>2</sub>(11) into J<sub>1</sub> was replaced by one
that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> L<sub>2</sub>(16)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusions of L<sub>2</sub>(16).2 into J<sub>3</sub> and of L<sub>2</sub>(16).4
into J<sub>3</sub>.2 were replaced by maps
that are compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> L<sub>2</sub>(19)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of L<sub>2</sub>(19) into J<sub>3</sub> was replaced by
one that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> L<sub>2</sub>(27)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of L<sub>2</sub>(27).3 into S<sub>6</sub>(3) was replaced by
one that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> L<sub>3</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusions of L<sub>3</sub>(3).2 into G<sub>2</sub>(3)
and S<sub>6</sub>(3) were replaced by
maps that are compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> L<sub>3</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusions of 4<sub>2</sub>.L<sub>3</sub>(4).2<sub>1</sub> into ON
and of 4<sub>2</sub>.L<sub>3</sub>(4).2<sub>3</sub> into 4.U<sub>4</sub>(3).2<sub>3</sub> were replaced by
maps that are compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of 2<sup>2</sup>.L<sub>3</sub>(4).2<sub>3</sub> and 2<sup>2</sup>.L<sub>3</sub>(4).3 are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>3</sub>(11)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of L<sub>3</sub>(11) is available
(contributed by Frank Lübeck,
computed with a program written by Boris Hemkemeier and Ulf Jürgens).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> L<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of L<sub>4</sub>(3).2<sub>2</sub> into O<sub>7</sub>(3) was replaced by
one that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>8</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of L<sub>8</sub>(2) is available
(contributed by Frank Lübeck,
computed with a program written by Boris Hemkemeier and Ulf Jürgens).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> M</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of the Sylow 11 and 13 normalizer in M are available,
via the names <tt>MN11</tt> and <tt>MN13</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables with the names <tt>4.2^2</tt>, <tt>(2^2x3).2</tt>,
<tt>1/2(8xS3)</tt>, <tt>M12C4</tt>, <tt>7^1+2.6</tt>, <tt>2x3.A6</tt>,
<tt>5^1+2.2A4</tt>, <tt>(4xA6).2^2</tt>, <tt>13^1+2.2A4</tt>,
<tt>7^1+4.2A7</tt> are available
(contributed by Simon Norton).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> M<sub>23</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of M<sub>23</sub> into Co<sub>3</sub> was replaced by
one that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> M<sub>24</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of 2<sup>4</sup>:A<sub>8</sub> into M<sub>24</sub> was replaced by
one that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> McL</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of McL.2 into Co<sub>3</sub> was replaced by one
that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 2nd power map of the table of the maximal subgroup of type
3.3<sup>1+4</sup>:4S<sub>5</sub> of 3.McL.2 was corrected.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> O<sub>8</sub><sup><font face="symbol">-</font
></sup>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of O<sub>8</sub><sup><font face="symbol">-</font
></sup>(2).2 into S<sub>8</sub>(2) was replaced
by one that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>8</sub><sup>+</sup>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of 2<sup>2</sup>.O<sub>8</sub><sup>+</sup>(2).2 and 2<sup>2</sup>.O<sub>8</sub><sup>+</sup>(2).3
are available, as well as the table of the maximal subgroup of the type
2<sup>1+6</sup><sub>+</sub>.A<sub>8</sub> of 2.O<sub>8</sub><sup>+</sup>(2).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>8</sub><sup>+</sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of O<sub>8</sub><sup>+</sup>(3).D<sub>8</sub> is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of the maximal subgroup 2<sup>2</sup>.(U<sub>3</sub>(3).2 ×S<sub>4</sub>)
of O<sub>8</sub><sup>+</sup>(3).S<sub>4</sub> and of the maximal subgroups
3<sup>3+6</sup>:(L<sub>3</sub>(3) ×D<sub>8</sub>) and 3<sup>6</sup>.L<sub>4</sub>(3).D<sub>8</sub> of O<sub>8</sub><sup>+</sup>(3).D<sub>8</sub>
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3).2<sub>1</sub> is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NeW</b></td><td valign="top"> O<sub>9</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup of type 2<sup>8</sup>.A<sub>9</sub>
is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> S<sub>4</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of S<sub>4</sub>(4).2 into S<sub>8</sub>(2) was replaced by one
that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> S<sub>6</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of 3<sup>6</sup>:L<sub>3</sub>(3) into S<sub>6</sub>(3) was replaced
by one that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> U<sub>3</sub>(5)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion of 3.U<sub>3</sub>(5) into 3.McL was replaced by one
that is compatible with the Brauer tables available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of 2<sup>2</sup>.U<sub>4</sub>(3).(2<sup>2</sup>)<sub>122</sub> is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.2 in May 2012</b>
<div class="p"><!----></div>
The following bugfixes are not related to the character tables of
simple groups.
<div class="p"><!----></div>
<table>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <tt>13^1+2.2A4</tt></td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="566">
The second power map in the character table with this name
was not correct.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <tt>2.Sym4</tt></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="566">
This name would be that of a maximal subgroup;
the table was renamed to <tt>2.Symm(4)</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <tt>2xSym4</tt></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="566">
This name would be that of a maximal subgroup;
the table was renamed to <tt>2xSymm(4)</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <tt>d60</tt></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="566">
The table with this name belongs to the dihedral group of order
120, it was renamed to <tt>D120</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <tt>P12/G1/L2/V1/ext2</tt></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="566">
The character table with this name
was not correct,
some of its class multiplication coefficients were not integral.
(This problem occurs already in the microfiches that are contained
in the book "Perfect Groups".)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <tt>P41/G1/L1/V4/ext2</tt></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="566">
The character table with this name
was not correct, this table was not the character table of a finite group.
(This problem occurs already in the microfiches that are contained
in the book "Perfect Groups".)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <tt>s61</tt></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="566">
This name would be that of a symmetric group;
the table was is now available as A<sub>8</sub>.2N2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <tt>Sym4</tt></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="566">
This name would be that of a maximal subgroup;
the table was renamed to <tt>Symm(4)</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br />
The following changes affect several ordinary tables.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
An ordinary character table is available for each table in the library of
tables of marks.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The class fusion to the table of marks was changed for
A<sub>6</sub>,
A<sub>6</sub>.2<sub>1</sub>,
2.A<sub>6</sub>,
G<sub>2</sub>(3),
He,
L<sub>2</sub>(11).2,
L<sub>2</sub>(25),
L<sub>2</sub>(121),
L<sub>3</sub>(4),
3.L<sub>3</sub>(4),
2<sup>2</sup>.L<sub>3</sub>(4),
L<sub>3</sub>(7),
M<sub>12</sub>,
McL.2,
O<sub>8</sub><sup>+</sup>(2),
S<sub>4</sub>(4),
S<sub>4</sub>(4).2,
S<sub>4</sub>(5),
U<sub>3</sub>(3),
U<sub>3</sub>(3).2,
U<sub>3</sub>(5),
U<sub>3</sub>(8),
U<sub>4</sub>(2),
U<sub>4</sub>(2).2,
U<sub>4</sub>(3),
U<sub>4</sub>(3).2<sub>1</sub>,
U<sub>4</sub>(3).2<sup>2</sup><sub>133</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The tables of all maximal subgroups are available for
2.A<sub>5</sub>,
2.A<sub>6</sub>,
3.A<sub>6</sub>,
6.A<sub>6</sub>,
2.A<sub>7</sub>,
3.A<sub>7</sub>,
6.A<sub>7</sub>,
A<sub>8</sub>,
A<sub>8</sub>.2,
2.A<sub>8</sub>,
A<sub>9</sub>,
A<sub>9</sub>.2,
2.A<sub>9</sub>,
A<sub>10</sub>,
A<sub>10</sub>.2,
2.A<sub>10</sub>,
2.A<sub>11</sub>,
A<sub>11</sub>,
A<sub>11</sub>.2,
A<sub>12</sub>,
A<sub>12</sub>.2,
2.A<sub>12</sub>,
A<sub>13</sub>,
A<sub>13</sub>.2,
B,
F<sub>3+</sub>.2,
Fi<sub>22</sub>.2,
G<sub>2</sub>(3).2,
3.G<sub>2</sub>(3),
2.G<sub>2</sub>(4),
G<sub>2</sub>(5),
He.2,
HN.2,
HS.2,
2.L<sub>2</sub>(11),
L<sub>2</sub>(13),
2.L<sub>2</sub>(13),
L<sub>2</sub>(17),
2.L<sub>2</sub>(17),
L<sub>2</sub>(19),
2.L<sub>2</sub>(19),
L<sub>2</sub>(23),
2.L<sub>2</sub>(23),
L<sub>2</sub>(25),
2.L<sub>2</sub>(25),
L<sub>2</sub>(27),
2.L<sub>2</sub>(27),
L<sub>2</sub>(29),
2.L<sub>2</sub>(29),
L<sub>2</sub>(31),
2.L<sub>2</sub>(31),
L<sub>2</sub>(109),
L<sub>2</sub>(113),
L<sub>2</sub>(121),
L<sub>2</sub>(125),
L<sub>3</sub>(2),
2.L<sub>3</sub>(2),
L<sub>3</sub>(3),
L<sub>3</sub>(4),
L<sub>3</sub>(4).D<sub>12</sub>,
2.L<sub>3</sub>(4),
3.L<sub>3</sub>(4),
2<sup>2</sup>.L<sub>3</sub>(4),
2<sup>2</sup>.L<sub>3</sub>(4).2<sub>2</sub>,
2<sup>2</sup>.L<sub>3</sub>(4).3,
L<sub>3</sub>(5),
L<sub>3</sub>(7),
3.L<sub>3</sub>(7),
L<sub>3</sub>(8),
L<sub>3</sub>(9),
L<sub>3</sub>(11),
L<sub>4</sub>(3),
L<sub>5</sub>(2),
L<sub>6</sub>(2),
L<sub>7</sub>(2),
2.M<sub>22</sub>.2,
O<sub>7</sub>(3),
2.O<sub>7</sub>(3),
3.O<sub>7</sub>(3),
6.O<sub>7</sub>(3),
O<sub>8</sub><sup><font face="symbol">-</font
></sup>(2),
O<sub>8</sub><sup>+</sup>(2),
2.O<sub>8</sub><sup>+</sup>(2),
2<sup>2</sup>.O<sub>8</sub><sup>+</sup>(2),
ON.2,
2.Ru,
S<sub>4</sub>(4),
S<sub>4</sub>(4).2,
S<sub>4</sub>(5),
2.S<sub>6</sub>(2),
S<sub>8</sub>(2),
Sz(8),
Sz(8).3,
2.Sz(8),
2<sup>2</sup>.Sz(8),
U<sub>3</sub>(3),
U<sub>3</sub>(4),
U<sub>3</sub>(4).2,
U<sub>3</sub>(5),
U<sub>3</sub>(5).2,
U<sub>3</sub>(5).3,
U<sub>3</sub>(5).S<sub>3</sub>,
3.U<sub>3</sub>(5),
U<sub>3</sub>(7),
U<sub>3</sub>(8),
U<sub>3</sub>(9),
U<sub>3</sub>(11),
U<sub>4</sub>(2),
U<sub>4</sub>(2).2,
2.U<sub>4</sub>(2),
2.U<sub>4</sub>(2).2,
U<sub>4</sub>(3),
U<sub>4</sub>(3).2<sub>1</sub>,
U<sub>4</sub>(3).2<sub>3</sub>,
U<sub>4</sub>(3).(2<sup>2</sup>)<sub>133</sub>,
U<sub>6</sub>(2),
2.U<sub>6</sub>(2),
3.U<sub>6</sub>(2),
6.U<sub>6</sub>(2),
<sup>2</sup>F<sub>4</sub>(2)<font face="symbol">¢</font
>.2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Tables of isoclinic variants of the groups
6.A<sub>7</sub>.2,
2.A<sub>11</sub>.2,
2.A<sub>12</sub>.2,
2.A<sub>13</sub>.2,
2.Fi<sub>22</sub>.2,
6.Fi<sub>22</sub>.2,
2.HS.2,
2.J<sub>2</sub>.2,
2.L<sub>3</sub>(2).2,
2.L<sub>3</sub>(4).2<sub>3</sub>,
4<sub>1</sub>.L<sub>3</sub>(4).2<sub>1</sub>,
4<sub>1</sub>.L<sub>3</sub>(4).2<sub>2</sub>,
4<sub>2</sub>.L<sub>3</sub>(4).2<sub>1</sub>,
4<sub>2</sub>.L<sub>3</sub>(4).2<sub>3</sub>,
6.L<sub>3</sub>(4).2<sub>1</sub>,
6.L<sub>3</sub>(4).2<sub>2</sub>,
2.M<sub>22</sub>.2,
4.M<sub>22</sub>.2,
6.M<sub>22</sub>.2,
12.M<sub>22</sub>.2,
2.Suz.2,
6.Suz.2,
2.U<sub>4</sub>(3).2<sub>1</sub>,
2.U<sub>4</sub>(3).2<sub>2</sub>,
2.U<sub>4</sub>(3).2<sub>3</sub>
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br />The following changes are assigned to specific simple groups,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> A<sub>5</sub></td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from A<sub>5</sub> ×A<sub>5</sub> to A<sub>5</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> A<sub>6</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Corrected the table of 12.A<sub>6</sub>.2<sub>3</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Replaced the fusion from 2.M<sub>12</sub>M4 to A<sub>6</sub>.2<sup>2</sup> by one to M<sub>12</sub>M4.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from <tt>P1/G1/L1/V1/ext2</tt> to 2<sup>4</sup>:A<sub>6</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character table of the Sylow 2-normalizer in 6.A<sub>6</sub>
is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> A<sub>7</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from A<sub>6</sub> to A<sub>7</sub>
and from A<sub>6</sub>.2<sub>1</sub> to A<sub>7</sub>.2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> A<sub>8</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from A<sub>6</sub>.2<sub>1</sub> to A<sub>8</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> A<sub>11</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from <tt>A11Syl2</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>18</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of A<sub>18</sub> is availabe.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>19</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of A<sub>19</sub>, S<sub>19</sub> are availabe.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> B</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character table of the Sylow 7-normalizer in 2.B
is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> Co<sub>1</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the ordering of the maxes 7<sup>2</sup>:(3 ×2A<sub>4</sub>) and
5<sup>2</sup>:2A<sub>5</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of defect 3- and 5-group normalizers in
Co<sub>1</sub> and 2.Co<sub>1</sub> are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> <sup>3</sup>D<sub>4</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from S<sub>3</sub> ×L<sub>2</sub>(8).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> <sup>2</sup>E<sub>6</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of
3.<sup>2</sup>E<sub>6</sub>(2) (contributed by Frank Lübeck),
3.<sup>2</sup>E<sub>6</sub>(2).2,
6.<sup>2</sup>E<sub>6</sub>(2),
6.<sup>2</sup>E<sub>6</sub>(2).2,
(2<sup>2</sup> ×3).<sup>2</sup>E<sub>6</sub>(2),
(2<sup>2</sup> ×3).<sup>2</sup>E<sub>6</sub>(2).2 are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> <sup>2</sup>F<sub>4</sub>(2)<font face="symbol">¢</font
></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of the Sylow 2-normalizers in
<sup>2</sup>F<sub>4</sub>(2)<font face="symbol">¢</font
> and <sup>2</sup>F<sub>4</sub>(2)<font face="symbol">¢</font
>.2 are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> Fi<sub>22</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from 3.Fi<sub>22</sub>M5 to 3.Fi<sub>22</sub> and
from 6.Fi<sub>22</sub>M5 to 6.Fi<sub>22</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character table of the Sylow 3-normalizer in 3.Fi<sub>22</sub>
is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> F<sub>3+</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the ordering of the maxes A<sub>6</sub> ×L<sub>2</sub>(8):3 and
7:6 ×A<sub>7</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from Fi<sub>23</sub> to F<sub>3+</sub> and from 3<sup>7</sup>.O<sub>7</sub>(3):2
to F<sub>3+</sub>.2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of the Sylow 5- and 7-normalizers in
3.F<sub>3+</sub>.2,
and the table of the Sylow 5-normalizer in 3.F<sub>3+</sub> are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> He</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of defect 3-group normalizers in
He.2 are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of normalizers of radical p-subgroups
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> HN</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of the Sylow 2-, 3-, and 5-normalizers
in HN, and the character table of the Sylow 3-normalizer in HN.2
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of defect 3-group normalizers in
HN and HN.2 are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> HS</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the class fusion from 5:4 ×2.A<sub>5</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b></b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of the Sylow 2- and 3-normalizers in
2.HS.2,
and the character tables of the Sylow 2- and 5-normalizers in 2.HS
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of defect 2-group normalizers in
2.HS are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> J<sub>2</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from 2.A<sub>5</sub> ×D<sub>10</sub> to 2.J<sub>2</sub>,
and the fusion from 3.A<sub>6</sub>.2<sup>2</sup> to J<sub>2</sub>.2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of the Sylow 2- and 3-normalizers in
2.J<sub>2</sub>,
and the character table of the Sylow 5-normalizer in 2.J<sub>2</sub>.2
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character table of the primitive group 2<sup>12</sup>.J<sub>2</sub> is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> J<sub>4</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of defect 3-group normalizers in
J<sub>4</sub> are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> L<sub>2</sub>(8)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The name <sup>2</sup>G<sub>2</sub>(3) was erroneously associated with
the character table of L<sub>2</sub>(8);
the correct table is that of L<sub>2</sub>(8).3.
(This error has been communicated by Felix Noeske.)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> L<sub>2</sub>(11)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the ordering of the maxes S<sub>4</sub> and D<sub>24</sub> in
L<sub>2</sub>(11).2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>2</sub>(25)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of 4.L<sub>2</sub>(25).2<sub>3</sub> is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>2</sub>(49)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of L<sub>2</sub>(49).2<sup>2</sup> is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>2</sub>(64)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of L<sub>2</sub>(64).6 is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>2</sub>(81)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of L<sub>2</sub>(81).2<sup>2</sup> and L<sub>2</sub>(81).(2 ×4)
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> L<sub>3</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from <tt>P13/G1/L2/V1/ext2</tt>,
<tt>P13/G1/L6/V1/ext2</tt> to L<sub>3</sub>(2).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> L<sub>3</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of L<sub>3</sub>(4).D<sub>12</sub> was replaced by a table with
different ordering of classes and characters; note that the table is an
<font face="helvetica"><font size="+0">ATLAS</font></font> table but it had erroneously not been replaced earlier.
The previous table had the name <tt>psl(3,4):d12</tt>,
the new table has the name <tt>L3(4).D12</tt>, the permutations of columns and
rows between the two tables are stored in the attribute <tt>CASInfo</tt> of the
new table.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from (2<sup>2</sup> ×3).U<sub>6</sub>(2)M3 to 3.L<sub>3</sub>(4).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of
(2<sup>2</sup> ×3).L<sub>3</sub>(4).2<sub>1</sub>,
(2<sup>2</sup> ×3).L<sub>3</sub>(4).2<sub>2</sub>,
(2<sup>2</sup> ×3).L<sub>3</sub>(4).2<sub>3</sub>,
(2<sup>2</sup> ×3).L<sub>3</sub>(4).3,
(2 ×4).L<sub>3</sub>(4),
(2 ×12).L<sub>3</sub>(4),
4<sup>2</sup>.L<sub>3</sub>(4),
(4<sup>2</sup> ×3).L<sub>3</sub>(4),
2.L<sub>3</sub>(4).2<sup>2</sup> (eight groups),
4<sub>1</sub>.L<sub>3</sub>(4).2<sub>3</sub><sup>*</sup>,
4<sub>1</sub>.L<sub>3</sub>(4).2<sup>2</sup> (eight groups),
4<sub>2</sub>.L<sub>3</sub>(4).2<sub>2</sub><sup>*</sup>,
4<sub>2</sub>.L<sub>3</sub>(4).2<sup>2</sup> (eight groups),
2<sup>2</sup>.L<sub>3</sub>(4).2<sub>1</sub>,
2<sup>2</sup>.L<sub>3</sub>(4).2<sup>2</sup>,
2<sup>2</sup>.L<sub>3</sub>(4).6,
3.L<sub>3</sub>(4).3.2<sub>2</sub>,
6.L<sub>3</sub>(4).2<sup>2</sup> (eight groups)
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>3</sub>(9)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of L<sub>3</sub>(9).2<sup>2</sup> is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>4</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of L<sub>4</sub>(4).2<sup>2</sup> is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>4</sub>(5)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of 2.L<sub>4</sub>(5), 4.L<sub>4</sub>(5) are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Ly</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of defect 3-group normalizers in
Ly are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> M</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character table of the <tt>7B</tt> centralizer, with the identifier
<tt>7^1+4.2A7</tt>, was wrong.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of the Sylow 5- and 7-normalizers in M
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of defect 3-group normalizers in
M are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> M<sub>11</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Replaced the fusions from 2.M<sub>12</sub>M2 and 2.HSM9 by fusions to
M<sub>12</sub>M2 and HSM9, respectively.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> M<sub>12</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the class fusions from 2 ×M<sub>11</sub>, 2.M<sub>12</sub>M4,
2 ×3<sup>2</sup>.2.S<sub>4</sub>, 2.M<sub>12</sub>M7, A<sub>6</sub>.D<sub>8</sub> to 2.M<sub>12</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b></b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character table of the Sylow 2-normalizer in 2.M<sub>12</sub>
is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> M<sub>22</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the class fusion from 2 ×3.A<sub>7</sub> to 6.M<sub>22</sub>,
and the class fusions from 2.(2 ×3.A<sub>7</sub>),
3 ×4.M<sub>22</sub>M5, 3 ×4.M<sub>22</sub>M6,
3 ×2.(2 ×L<sub>2</sub>(11)) to 12.M<sub>22</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Replaced the fusion from 3.McLM3 by one to McLM3.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of defect 3-group normalizers in 12.M<sub>22</sub>
and the Sylow 2-normalizer in 4.M<sub>22</sub>
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character table of a primitive group 2<sup>10</sup>.M<sub>22</sub>
is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> M<sub>24</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of normalizers of radical p-subgroups
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> McL</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from 3.3<sup>1+4</sup>:2S<sub>5</sub>, 3 ×2.A<sub>8</sub>,
3.U<sub>3</sub>(5) to 3.McL,
and the fusion from U<sub>4</sub>(3) to McL.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Replaced the fusion from 3.McLM10 to 2<sup>4</sup>:A7 by one to McLM10.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from 3.3<sup>4</sup>.3<sup>2</sup>.Q<sub>8</sub> to 3.3<sup>1+4</sup>:2S<sub>5</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of the Sylow 3- and 5-normalizers in 3.McL.2,
and the character table of the Sylow 3-normalizer in McL.2
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of 2.O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3)
(contributed by Max Neunhöffer),
O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3).2<sub>2</sub>, O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3).2<sub>3</sub>, O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3).2<sup>2</sup> are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> O<sub>8</sub><sup>+</sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Sorted rows and columns of the table of O<sub>8</sub><sup>+</sup>(3).S<sub>4</sub>
(in the old version, the trivial character was not the first one,
and this is not supported by the construction function).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of
O<sub>8</sub><sup>+</sup>(3).2<sup>2</sup><sub>122</sub>,
2.O<sub>8</sub><sup>+</sup>(3) (contributed by Max Neunhöffer),
2<sup>2</sup>.O<sub>8</sub><sup>+</sup>(3),
2<sup>2</sup>.O<sub>8</sub><sup>+</sup>(3).3
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>8</sub><sup>+</sup>(7)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of O<sub>8</sub><sup>+</sup>(7), 2.O<sub>8</sub><sup>+</sup>(7)
are available
(contributed by Eamonn O'Brien).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>9</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of 2.O<sub>9</sub>(3) is available
(contributed by Max Neunhöffer).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>10</sub><sup><font face="symbol">-</font
></sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of O<sub>10</sub><sup><font face="symbol">-</font
></sup>(3) and 2.O<sub>10</sub><sup><font face="symbol">-</font
></sup>(3)
are available
(contributed by Eamonn O'Brien).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> ON</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of the Sylow 3- and 7-normalizers in
3.ON.2,
and the character table of the Sylow 2-normalizer in ON.2 are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of defect 2-group normalizers in ON and 3.ON
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> Ru</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the class fusion from 2.2<sup>3+8</sup>:L<sub>3</sub>(2) to 2.Ru.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b></b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character table of the Sylow 2-normalizer in 2.Ru
is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> S<sub>4</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from <tt>a5wc2</tt> to S<sub>4</sub>(4).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> S<sub>4</sub>(9)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of S<sub>4</sub>(9), S<sub>4</sub>(9).2<sub>1</sub>, S<sub>4</sub>(9).2<sub>2</sub>,
S<sub>4</sub>(9).2<sub>3</sub>, S<sub>4</sub>(9).2<sup>2</sup> are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> S<sub>6</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from 2.[2<sup>6</sup>]:(S<sub>3</sub> ×S<sub>3</sub>),
2<sup>6</sup>:L<sub>3</sub>(2).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> S<sub>6</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of S<sub>6</sub>(4).2 is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> Suz</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the class fusion from (A<sub>6</sub>:2<sub>2</sub> ×A<sub>5</sub>).2 to Suz.2,
the class fusions from 2.SuzM4, (2 ×L<sub>3</sub>(3)).2,
(A<sub>6</sub> ×2.A<sub>5</sub>).2 to 2.Suz,
the class fusions from 3 ×U<sub>5</sub>(2), 3 ×2<sup>1+6</sup><sub><font face="symbol">-</font
></sub>.U<sub>4</sub>(2),
(3.A<sub>6</sub> ×A<sub>5</sub>):2 to 3.Suz,
and the class fusion from (3.A<sub>6</sub>.2<sub>2</sub> ×A<sub>5</sub>):2 to 3.Suz.2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the class fusions from 3 ×2.SuzM4, 3 ×2.J<sub>2</sub>.2,
3 ×(2 ×L<sub>3</sub>(3)).2, (3.A<sub>6</sub> ×2.A<sub>5</sub>).2 to 6.Suz.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed maxes of Suz and its central extensions, there is no need for
SuzM15 etc., take L<sub>3</sub>(3).2 and suitable central extensions twice.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Sz(8)</td><td valign="top"> : </td><tdvalign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character table of the primitive group 2<sup>12</sup>.Sz(8)
is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> U<sub>3</sub>(5)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Replaced the fusion from 2.HSM3 by one to HSM3.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from 3 ×2S<sub>5</sub> to U<sub>3</sub>(5).3.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> U<sub>3</sub>(8)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from 3 ×L<sub>2</sub>(8) to U<sub>3</sub>(8).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> U<sub>4</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from A<sub>6</sub>.2<sub>1</sub> and 2.SuzM4 to U<sub>4</sub>(2).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> U<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Replaced the fusions from 3<sup>2</sup>.U<sub>4</sub>(3).2<sub>3</sub><font face="symbol">¢</font
> and 2.U<sub>4</sub>(3).2<sub>3</sub><font face="symbol">¢</font
>
to U<sub>4</sub>(3).2<sub>3</sub> by fusions to U<sub>4</sub>(3).2<sub>3</sub><font face="symbol">¢</font
>,
changed the fusions from U<sub>4</sub>(2) to U<sub>4</sub>(3) and from U<sub>4</sub>(2).2 to
U<sub>4</sub>(3).2<sub>1</sub>,
changed the fusions from L<sub>3</sub>(4).2<sup>2</sup> and 3<sup>2</sup>.U<sub>4</sub>(3).2<sup>2</sup><sub>133</sub> to
U<sub>4</sub>(3).2<sup>2</sup><sub>133</sub>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of
2.U<sub>4</sub>(3).(2<sup>2</sup>)<sub>122</sub> (six groups),
2.U<sub>4</sub>(3).(2<sup>2</sup>)<sub>133</sub> (six groups),
2.U<sub>4</sub>(3).D<sub>8</sub>,
6<sub>1</sub>.U<sub>4</sub>(3).2<sub>2</sub><font face="symbol">¢</font
>,
3<sub>1</sub>.U<sub>4</sub>(3).2<sup>2</sup><sub>122</sub>,
3<sup>2</sup>.U<sub>4</sub>(3),
(3<sup>2</sup> ×2).U<sub>4</sub>(3),
(3<sup>2</sup> ×4).U<sub>4</sub>(3),
(3<sup>2</sup> ×2).U<sub>4</sub>(3).D<sub>8</sub>
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>4</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of U<sub>4</sub>(4).4 is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>4</sub>(5)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of
U<sub>4</sub>(5).2<sub>1</sub>,
U<sub>4</sub>(5).2<sub>2</sub>,
U<sub>4</sub>(5).2<sub>3</sub>,
U<sub>4</sub>(5).2<sup>2</sup>
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>5</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of U<sub>5</sub>(3) is available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>5</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of U<sub>5</sub>(4), U<sub>5</sub>(4).2 are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> U<sub>6</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from 2.U<sub>4</sub>(3).2<sub>2</sub> to 2.U<sub>6</sub>(2),
from 3<sub>1</sub>.U<sub>4</sub>(3).2<sub>2</sub> and (2<sup>2</sup> ×3).U<sub>6</sub>(2) to 6.U<sub>6</sub>(2),
and from 6<sub>1</sub>.U<sub>4</sub>(3).2<sub>2</sub> to 6.U<sub>6</sub>(2).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary tables of
3.U<sub>6</sub>(2).S<sub>3</sub>,
(2<sup>2</sup> ×3).U<sub>6</sub>(2).2,
(2<sup>2</sup> ×3).U<sub>6</sub>(2).3
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>6</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of U<sub>6</sub>(4) is available
(contributed by Eamonn O'Brien).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>7</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The ordinary table of U<sub>7</sub>(2) is available
(contributed by Frank Lübeck).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br /><br />
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.3 in December 2019</b>
<div class="p"><!----></div>
The following changes are assigned to the simple group involved,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> A<sub>6</sub></td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The Brauer tables of 4.A<sub>6</sub>.2<sub>3</sub> are now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> F<sub>4</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 2nd power map in the 13-modular table of
2.(2 ×F<sub>4</sub>(2)).2 was wrong (as in the ordinary table).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 2- and 3-modular tables of F<sub>4</sub>(2) and 2.F<sub>4</sub>(2)
and of its 1st and 5th maximal subgroups are now available
(computed by Frank Lübeck and Gerhard Hiss).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Fi<sub>23</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 3-modular Brauer table of Fi<sub>23</sub> is available
(computed by Lukas Görgen, Gerhard Hiss, and Klaus Lux).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> J<sub>3</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 19-modular tables of J<sub>3</sub>, J<sub>3</sub>.2, 3.J<sub>3</sub>, and 3.J<sub>3</sub>.2
were changed, due to a generality problem.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>3</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The Brauer tables of 3.L<sub>3</sub>(4).3.2<sub>3</sub> are now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>8</sub><sup>+</sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 3-modular tables of O<sub>8</sub><sup>+</sup>(3), 2.O<sub>8</sub><sup>+</sup>(3),
2<sup>2</sup>.O<sub>8</sub><sup>+</sup>(3), O<sub>8</sub><sup>+</sup>(3).3, and 2<sup>2</sup>.O<sub>8</sub><sup>+</sup>(3).3 are now available
(computed by Frank Lübeck).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 3-modular table of O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3), 2.O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3),
O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3).2<sub>1</sub>, O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3).2<sub>2</sub>, O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3).2<sub>3</sub>, O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3).2<sup>2</sup>
are now available
(computed by Frank Lübeck).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>10</sub><sup>+</sup>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 2-modular table of O<sub>10</sub><sup>+</sup>(2) is now available
(computed by Frank Lübeck).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>10</sub><sup><font face="symbol">-</font
></sup>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 2-modular table of O<sub>10</sub><sup><font face="symbol">-</font
></sup>(2) is now available
(computed by Frank Lübeck).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> ON</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 3-modular Brauer table of ON.2 is available
(computed by Klaus Lux and Alexander Ryba).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> S<sub>10</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 2-modular table of S<sub>10</sub>(2) is now available
(computed by Frank Lübeck).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Suz</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 13-modular Brauer tables of 2.Suz.2 (and 6.Suz.2)
are available (computed by Klaus Lux and Alexander Ryba).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>3</sub>(8)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The Brauer tables of 9.U<sub>3</sub>(8).3<sub>3</sub> are now available,
as well as the 7-modular tables of U<sub>3</sub>(8).3<sup>2</sup> and
U<sub>3</sub>(8).(S<sub>3</sub> ×3).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> U<sub>4</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The 2-modular character table of
3.(2 ×2<sup>1+8</sup>):(U<sub>4</sub>(2):2 ×2) was not correct,
due to an error in the <font face="helvetica"><font size="+0">GAP</font></font> function that constructs the table
from the ordinary one; now this function has been corrected.
No other library tables were affected by this bug.
(Thanks to Jürgen Müller for reporting the error.)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The modular character tables of 12<sub>1</sub>.U<sub>4</sub>(3).2<sub>2</sub><font face="symbol">¢</font
> and
12<sub>2</sub>.U<sub>4</sub>(3).2<sub>3</sub><font face="symbol">¢</font
> are now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br />The following changes affect several Brauer tables.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Brauer tables are now automatically available
for which all p-modular Brauer characters lift to characteristic zero;
this applies for example to all groups L<sub>2</sub>(q) if p is odd.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Brauer tables are now automatically available
for which the ordinary tables store a construction recipe
involving <tt>ConstructDirectProduct</tt>, <tt>ConstructIsoclinic</tt>,
or <tt>ConstructMGA</tt>
and for which the relevant Brauer tables of the ingredient tables are
available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
The following bugfixes are not related to the character tables of
simple groups.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <tt>2^2.(2^7.3^2).s3</tt></td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="533">
The table was renamed to
<tt>2^2.[2^7*3^2].S3</tt>,
since the old name gives a wrong structure description.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <tt>5^3:(4xA5).2</tt></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="533">
The table was renamed to <tt>5^3:(4xS5)</tt>,
since the old name gives a wrong structure description.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> <tt>NRS(M24,2^(2+2+4)b)</tt></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="533">
The table was renamed to
<tt>NRS(M24,2^(4+4))</tt>,
since the old name gives a wrong structure description.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br />The following changes affect several ordinary tables.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The following class fusions were replaced by equivalent ones
in order to achieve compatibility with fusions for factor groups or
extensions, respectively.
<tt>(2^2x3).U6(2).2</tt> to <tt>6.Fi22.2</tt>,
<tt>(3^2:8xA6).2</tt> to <tt>Suz.2</tt>,
<tt>(3x2^(1+6)_-.U4(2)).2</tt> to <tt>3.Suz.2</tt>,
<tt>(A5xD10).2</tt> to <tt>J2.2</tt>,
<tt>12.M22N3</tt> to <tt>12.M22</tt>,
<tt>12_2.L3(4).2_1</tt> to <tt>3.ON</tt>,
<tt>19:18</tt> to <tt>J3.2</tt>,
<tt>2.HS.2N5</tt> to <tt>2.HS.2</tt>,
<tt>2.M12N2</tt> to <tt>2.M12</tt>,
<tt>2.[2^9]:5:4</tt> to <tt>2F4(2)'.2</tt>,
<tt>2A4xA5</tt> to <tt>2.J2</tt>,
<tt>2^(1+4)+:3^2.2</tt> to <tt>G2(3)</tt>,
<tt>2^(1+6)_+:S5</tt> to <tt>HS.2</tt>,
<tt>3.(3xM10):2</tt> to <tt>3.J3.2</tt>,
<tt>3.2^(1+4)+:3^2.2</tt> to <tt>3.G2(3)</tt>,
<tt>3.3^4.3^2.Q8</tt> to <tt>3.McL</tt>,
<tt>3^2.(3x3^(1+2)+):D8</tt> to <tt>G2(3).2</tt>,
<tt>3x2.J2.2N5</tt> to <tt>6.Suz</tt>,
<tt>3x4.M22N2</tt> to <tt>12.M22</tt>,
<tt>5^2:(4xS3)</tt> to <tt>J2.2</tt>,
<tt>6.A6M3</tt> to <tt>6.A7</tt>,
<tt>6.A6N2</tt> to <tt>6.A6</tt>,
<tt>6.A6N2</tt> to <tt>6.A7</tt>,
<tt>7:6xL3(2)</tt> to <tt>He.2</tt>,
<tt>7^2:2.L2(7).2</tt> to <tt>He.2</tt>,
<tt>Fi22N3</tt> to <tt>Fi22</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The tables of all maximal subgroups are available for
<sup>3</sup>D<sub>4</sub>(2),
<sup>3</sup>D<sub>4</sub>(2).3,
2.A<sub>5</sub>.2,
A<sub>6</sub>.2<sub>3</sub>,
2.Co<sub>1</sub>,
2.Fi<sub>22</sub>,
3.Fi<sub>22</sub>,
G<sub>2</sub>(4).2,
3.J<sub>3</sub>,
L<sub>2</sub>(8),
L<sub>2</sub>(8).3,
L<sub>3</sub>(2).2,
2.L<sub>3</sub>(2).2,
L<sub>3</sub>(3).2,
3.M<sub>22</sub>.2,
3.McL.2,
3.ON.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Many tables of normalizers of radical p-subgroups of central extensions
of simple groups are now available, as well as the class fusions into
these overgroups.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The <tt>CASInfo</tt> value was added for the following tables:
2.B,
2.Co<sub>1</sub>,
2.F<sub>4</sub>(2),
2.HS,
2.J<sub>2</sub>,
2.M<sub>12</sub>,
2.Ru,
3.F<sub>3+</sub>,
3.J<sub>3</sub>,
3.McL,
3.ON,
6.Suz, and
12.M<sub>22</sub>.
At the time when the <font face="helvetica"><font size="+0">CAS</font></font> library got included in
<font face="helvetica"><font size="+0">GAP</font></font>'s character table library,
this information was apparently not saved.
However, at least the book "Brauer Trees of Sporadic Groups" refers
to the <font face="helvetica"><font size="+0">CAS</font></font> numbering of certain characters,
thus it is useful to make the values available.
Thanks to Gerhard Hiss for the <font face="helvetica"><font size="+0">CAS</font></font> format tables
which had been used in the computations for the abovementioned book.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br />The following changes are assigned to specific simple groups,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> <sup>3</sup>D<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of <sup>3</sup>D<sub>4</sub>(3) is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> <sup>3</sup>D<sub>4</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of <sup>3</sup>D<sub>4</sub>(4) is now available
(contributed by Eamonn O'Brien).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> Co<sub>1</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the largest solvable subgroup
(of the structure 2<sup>4+12</sup>.(S<sub>3</sub> ×3<sup>1+2</sup><sub>+</sub>:D<sub>8</sub>)) is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> E<sub>6</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Corrected the table (irrationalities and power maps).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> F<sub>3+</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of the largest solvable subgroups in F<sub>3+</sub> and
F<sub>3+</sub>.2 (of the structures 3<sup>1+10</sup><sub>+</sub>:2<sup>1+6</sup><sub><font face="symbol">-</font
></sub>:3<sup>1+2</sup><sub>+</sub>:2S<sub>4</sub> and
3<sup>1+10</sup><sub>+</sub>:(2 ×2<sup>1+6</sup><sub><font face="symbol">-</font
></sub>:3<sup>1+2</sup><sub>+</sub>:2S<sub>4</sub>), respectively)
are now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> F<sub>4</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Corrected the 2nd power map in the tables of
2.F<sub>4</sub>(2).2 (two isoclinic variants), 2 ×2.F<sub>4</sub>(2).2,
and 2.(2 ×F<sub>4</sub>(2)).2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> G<sub>2</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The <tt>FusionToTom</tt> map was replaced,
due to a generality problem.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> HS</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The <tt>FusionToTom</tt> map was replaced by one that is compatible with
the <font face="helvetica"><font size="+0">ATLAS</font></font> of Group Representations.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>3</sub>(4)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the extension 3.L<sub>3</sub>(4).3.2<sub>3</sub> is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> L<sub>3</sub>(7)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The <tt>FusionToTom</tt> map was replaced by one that is compatible
with the <font face="helvetica"><font size="+0">ATLAS</font></font> of Group Representations.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>10</sub><sup>+</sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of O<sub>10</sub><sup>+</sup>(3) is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>12</sub><sup>+</sup>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of O<sub>12</sub><sup>+</sup>(2) is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>12</sub><sup><font face="symbol">-</font
></sup>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of O<sub>12</sub><sup><font face="symbol">-</font
></sup>(2) is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>12</sub><sup>+</sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of O<sub>12</sub><sup>+</sup>(3) and 2<sub>1</sub>.O<sub>12</sub><sup>+</sup>(3) are
now available
(contributed by Eamonn O'Brien).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>12</sub><sup><font face="symbol">-</font
></sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of O<sub>12</sub><sup><font face="symbol">-</font
></sup>(3) is now available
(contributed by Eamonn O'Brien).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> U<sub>3</sub>(8)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of U<sub>3</sub>(8).3<sup>2</sup>, U<sub>3</sub>(8).(S<sub>3</sub> ×3),
and 9.U<sub>3</sub>(8).3<sub>3</sub> are now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> U<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of the two bicyclic extensions
12<sub>1</sub>.U<sub>4</sub>(3).2<sub>2</sub><font face="symbol">¢</font
> and 12<sub>2</sub>.U<sub>4</sub>(3).2<sub>3</sub><font face="symbol">¢</font
> of U<sub>4</sub>(3) are now available;
they had been missing, in spite of the claim that all <font face="helvetica"><font size="+0">ATLAS</font></font> tables
are available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> U<sub>4</sub>(5)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusion from U<sub>4</sub>(5) to U<sub>4</sub>(5).2<sup>2</sup> was corrected.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.3.2 in March 2021</b>
<div class="p"><!----></div>
The following changes affect several ordinary tables.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The tables of all maximal subgroups are available for F<sub>4</sub>(2).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br />The following changes are assigned to specific simple groups,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>2</sub>(49)</td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of 4.L<sub>2</sub>(49).2<sub>3</sub> and 4.L<sub>2</sub>(81).4<sub>2</sub>
are now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>2</sub>(81)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of 4.L<sub>2</sub>(81).2<sub>3</sub> is now available.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> M</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of 3<sup>1+12</sup>.(2 ×U<sub>5</sub>(2).2) is now available,
which is a subgroup of the maximal subgroup 3<sup>1+12</sup>.2.Suz.2 of M
that plays a role in the verification of the table of 3<sup>1+12</sup>:6.Suz.2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.3.3 in January 2022</b>
<div class="p"><!----></div>
<br /><br />(No character tables were added or changed.)
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.3.4 in April 2022</b>
<div class="p"><!----></div>
<br /><br />(No character tables were added or changed.)
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.3.5 in February 2023</b>
<div class="p"><!----></div>
Changes are assigned to the simple group involved,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>2</sub>(49)</td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup 7<sup>2</sup>:24 of G was added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top"> M<sub>12</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Renamed D<sub>8</sub>.(S<sub>4</sub> ×2) to 2<sup>3</sup>.(S<sub>4</sub> ×2),
the old name does not fit to the structure of the subgroup.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> L<sub>2</sub>(81)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup 3<sup>4</sup>:40 of G was added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> J<sub>3</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from J<sub>3</sub>M3
(in order to achieve compatibility with Brauer tables)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> O<sub>7</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from 5:4 ×S<sub>4</sub>, O<sub>7</sub>(3)M5
(in order to achieve compatibility with Brauer tables)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> R(27)</td><td valign="top"> : </td><tdvalign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup 3<sup>3+6</sup>:26
of R(27) was added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> O<sub>8</sub><sup>+</sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from O<sub>7</sub>(3) (all six classes,
in order to achieve compatibility with Brauer tables)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from 3<sup>6</sup>:2U<sub>4</sub>(3).2<sub>1</sub>, L<sub>2</sub>(81).2<sub>1</sub>,
O<sub>7</sub>(3).2 (in order to achieve compatibility with Brauer tables)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> O<sub>10</sub><sup>+</sup>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from 2<sup>10</sup>:L<sub>5</sub>(2), S<sub>8</sub>(2)
(in order to achieve compatibility with Brauer tables)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> O<sub>10</sub><sup><font face="symbol">-</font
></sup>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup (3 ×O<sub>8</sub><sup>+</sup>(2)):2
of O<sub>10</sub><sup><font face="symbol">-</font
></sup>(2) was added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from 2<sup>8</sup>:O<sub>8</sub><sup><font face="symbol">-</font
></sup>(2)
(in order to achieve compatibility with Brauer tables)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> F<sub>4</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusion from S<sub>8</sub>(2)M4
(two classes, in order to achieve compatibility with Brauer tables)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.3.6 in May 2023</b>
<div class="p"><!----></div>
<br /><br />(No character tables were added or changed.)
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.3.7 in December 2023</b>
<div class="p"><!----></div>
Changes are assigned to the simple group involved,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> L<sub>6</sub>(2)</td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from 3.L<sub>3</sub>(4).3.2<sub>2</sub> and 2<sup>5</sup>:L<sub>5</sub>(2)
(in order to achieve compatibility with Brauer tables)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> Fi<sub>23</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
Changed the fusions from 3<sup>6</sup>:L<sub>4</sub>(3):2<sub>2</sub> and S<sub>3</sub> ×O<sub>7</sub>(3)
(in order to achieve compatibility with Brauer tables)
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> B</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup (2 ×O<sub>8</sub><sup>+</sup>(3)).S<sub>4</sub> of 2.G
was added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> M</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup 2<sup>10+16</sup>.O<sub>10</sub><sup>+</sup>(2) of G
was added
(contributed by Alexander Hulpke).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of the maximal subgroups
2<sup>2+11+22</sup>.(M<sub>24</sub> ×S<sub>3</sub>), 2<sup>[39]</sup>.(L<sub>3</sub>(2) ×3.S<sub>6</sub>)
were added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The tables of the maximal subgroups
3<sup>8</sup>.O<sub>8</sub><sup><font face="symbol">-</font
></sup>(3).2<sub>3</sub>, (3<sup>2</sup>:2 ×O<sub>8</sub><sup>+</sup>(3)).S<sub>4</sub>,
3<sup>2+5+10</sup>.(M<sub>11</sub> ×2S<sub>4</sub>), 3<sup>3+2+6+6</sup>:(L<sub>3</sub>(3) ×SD<sub>16</sub>)
of G were added
(contributed by Tim Burness).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusions from the maximal subgroups L<sub>2</sub>(13).2, L<sub>2</sub>(29).2,
and U<sub>3</sub>(4).4 of G were added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> </td><td valign="top"> </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The relative names of some maximal subgroups of G were changed,
due to the now completed classification of maximal subgroup of G:
L<sub>2</sub>(71) is <tt>MM38</tt> not <tt>MM37</tt>,
L<sub>2</sub>(59) is <tt>MM39</tt> not <tt>MM38</tt>,
11<sup>2</sup>:(5 ×2.A<sub>5</sub>) is <tt>MM40</tt> not <tt>MM39</tt>,
L<sub>2</sub>(41) is <tt>MM41</tt> not <tt>MM40</tt>,
L<sub>2</sub>(29).2 is <tt>MM42</tt> not <tt>MM41</tt>,
7<sup>2</sup>:2L<sub>2</sub>(7) is <tt>MM43</tt> not <tt>MM42</tt>,
L<sub>2</sub>(19).2 is <tt>MM44</tt> not <tt>MM43</tt>,
41:40 is <tt>MM46</tt> not <tt>MM44</tt>.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.3.8 in March 2024</b>
<div class="p"><!----></div>
Changes are assigned to the simple group involved,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> M</td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The class fusions from the maximal subgroups
(L<sub>2</sub>(11) ×L<sub>2</sub>(11)):4, 11<sup>2</sup>:(5 ×2.A<sub>5</sub>), 7<sup>2</sup>:2L<sub>2</sub>(7), and
L<sub>2</sub>(19).2 of G were added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.3.9 in March 2024</b>
<div class="p"><!----></div>
<br /><br />(No character tables were added or changed.)
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.3.10 in May 2025</b>
<div class="p"><!----></div>
The following changes affect several ordinary tables.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
The tables of all maximal subgroups are available for F<sub>4</sub>(2).2 and M.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>***</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Side-effects of the now known classification of maximal subgroups
of the Monster group M are that the previously claimed maximal subgroups
of the type L<sub>2</sub>(59) do not exist (and hence the Monster has
maximal subgroups of the type 59:29), and that the ordering of the
classes 39 to 45 of maximal subgroups had to be changed,
in order to achieve that the numbering reflects descending subgroup order.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="716">
Isoclinic variants of the following <font face="helvetica"><font size="+0">ATLAS</font></font> character tables
are now available.
2.A<sub>6</sub>.2<sub>2</sub>, 6.A<sub>6</sub>.2<sub>2</sub>, 2.L<sub>2</sub>(11).2, 2.L<sub>2</sub>(13).2, 2.L<sub>2</sub>(17).2, 2.L<sub>2</sub>(25).2<sub>1</sub>, 2.L<sub>2</sub>(27).2, 2.L<sub>2</sub>(27).6, 2.L<sub>2</sub>(29).2, 2.L<sub>2</sub>(31).2, 2.L<sub>2</sub>(49).2<sub>1</sub>, 2.L<sub>2</sub>(81).2<sub>2</sub>, 3.L<sub>3</sub>(4).3 (two variants), 3.L<sub>3</sub>(4).6 (two variants), 12<sub>1</sub>.L<sub>3</sub>(4).2<sub>1</sub>, 12<sub>2</sub>.L<sub>3</sub>(4).2<sub>1</sub>, 12<sub>2</sub>.L<sub>3</sub>(4).2<sub>3</sub>, 12<sub>1</sub>.L<sub>3</sub>(4).2<sub>2</sub>, 3.L<sub>3</sub>(7).3 (two variants), 2.L<sub>4</sub>(3).2<sub>1</sub>, 2.L<sub>4</sub>(3).2<sub>2</sub>, 2.L<sub>4</sub>(3).2<sub>3</sub>, 6.O<sub>7</sub>(3).2, 2.O<sub>8</sub><sup>+</sup>(2).2, 2.S<sub>4</sub>(5).2, 2.S<sub>6</sub>(3).2, 3.U<sub>3</sub>(5).3 (two variants), 3.U<sub>3</sub>(7).3 (two variants), 3.U<sub>3</sub>(8).3<sub>2</sub> (two variants), 3.U<sub>3</sub>(11).3 (two variants), 2.U<sub>4</sub>(2).2, 4.U<sub>4</sub>(3).2<sub>2</sub>, 4.U<sub>4</sub>(3).2<sub>3</sub>, 6<sub>1</sub>.U<sub>4</sub>(3).2<sub>1</sub>, 6<sub>1</sub>.U<sub>4</sub>(3).2<sub>2</sub>, 6<sub>1</sub>.U<sub>4</sub>(3).2<sub>2</sub><font face="symbol">¢</font
>, 6<sub>2</sub>.U<sub>4</sub>(3).2<sub>1</sub>, 6<sub>2</sub>.U<sub>4</sub>(3).2<sub>3</sub>, 12<sub>1</sub>.U<sub>4</sub>(3).2<sub>2</sub>, 12<sub>1</sub>.U<sub>4</sub>(3).2<sub>2</sub><font face="symbol">¢</font
>, 12<sub>2</sub>.U<sub>4</sub>(3).2<sub>3</sub>, 12<sub>2</sub>.U<sub>4</sub>(3).2<sub>3</sub><font face="symbol">¢</font
>, 2.U<sub>6</sub>(2).2, 3.U<sub>6</sub>(2).3 (two variants), 6.U<sub>6</sub>(2).2.
Also the corresponding Brauer tables and factor fusions to suitable
factor groups were added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br />The following changes are assigned to specific simple groups,
and shown in alphabetical order.
<div class="p"><!----></div>
<br />
<table>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> <sup>2</sup>E<sub>6</sub>(2)</td><td valign="top"> : </td><td valign="top">
<td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character tables of the maximal subgroups
(L<sub>3</sub>(2) ×L<sub>3</sub>(4)).2 of G
and (L<sub>3</sub>(2) ×L<sub>3</sub>(4).2<sub>2</sub>).2, <sup>2</sup>E<sub>6</sub>(2).2N3C of G.2 were added,
as well as class fusions from the maximal subgroups Fi<sub>22</sub>.2, O<sub>7</sub>(3).2,
and O<sub>10</sub><sup><font face="symbol">-</font
></sup>(2).2 to G.2.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>C</b></td><td valign="top"> A<sub>6</sub></td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character parameters of the ordinary table of A<sub>6</sub>.2<sub>1</sub>
were made consistent with the character parameters of the Brauer tables,
by applying the permutation induced by the outer automorphism of the group.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> F<sub>4</sub>(3)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the simple group was added
(contributed by Eamonn O'Brien).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> G<sub>2</sub>(7)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the simple group was added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> M</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The character table of the maximal subgroup
2<sup>5+10+20</sup>.(S<sub>3</sub> ×L<sub>5</sub>(2)) of the Monster group was added
(contributed by Anthony Pisani).
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr>
<tr><td valign="top" align="right"><b>NEW</b></td><td valign="top"> S<sub>12</sub>(2)</td><td valign="top"> : </td><td valign="top">
</td><td valign="top"><table border="0"><tr><td valign="top"></td><td width="633">
The table of the maximal subgroup S<sub>4</sub>(8).3 was added.
</td></tr></table><!--vbox-->
</td><td valign="top"></td></tr></td></tr></table><!--hboxt--></table>
<div class="p"><!----></div>
<br /><br /><b>Release of CTblLib 1.3.11 in May 2025</b>
<div class="p"><!----></div>
<br /><br />
The only change was that the ordering of rows and columns of the table of S<sub>4</sub>(8).3 (which had been added in version 1.3.10)
was adjusted such that the function <tt>AtlasClassNames</tt>
(from the <font face="helvetica"><font size="+0">GAP</font></font> package
<tt>AtlasRep</tt>) does not run into an error when called with this table.
<div class="p"><!----></div>
<br /><br />
<div class="p"><!----></div>
Last update May 25th, 2025.
<div class="p"><!----></div>
<div class="p"><!----></div>
<br /><br /><hr /><small>File translated from
T<sub><font size="-1">E</font></sub>X
by <a href="http://hutchinson.belmont.ma.us/tth/">
T<sub><font size="-1">T</font></sub>H</a>,
version 3.59.<br />On 25 May 2025, 23:48.</small>
</html>
Messung V0.5 in Prozent
¤ Die Informationen auf dieser Webseite wurden
nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit,
noch Qualität der bereit gestellten Informationen zugesichert.0.136Bemerkung:
(vorverarbeitet am 2026-04-26)
¤
Die Informationen auf dieser Webseite wurden
nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit,
noch Qualität der bereit gestellten Informationen zugesichert.
Bemerkung:
Die farbliche Syntaxdarstellung und die Messung sind noch experimentell.
