%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% %W ctbldiff.tex GAP 4 package `ctbllib' Thomas Breuer %% %Y Copyright (C) 1999, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany %% %% Plain TeX file, format copied from Simon Norton's famous lists of %% ATLAS Improvements %%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \tthdump{\centerline{\bf Changes in the {\GAP} Character Table Library}} %%tth: \title{Changes in the GAP Character Table Library}
This list contains the changes in the {\GAP} character table library
since the official upgrade for {\GAP}~3.4 in October 1996.
We denote mathematical errors by {\bf ***} and new information
by {\bf NEW}\null.
We use {\bf C} to denote changes that are not obviously corrections;
the number of these changes is kept small.
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of {\GAP}~4.1 in July 1999}
\bigbreak
{\bf Brauer Tables}
Changes are assigned to the simple group involved,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
***&^2E_6(2)&:&The faithful characters of $2.{}^2E_6(2)$ and
$2.{}^2E_6(2).2$ mod $19$ were corrected \contrib{by J\"urgen M\"uller}.\cr
NEW&A_{13}&:&Indicators of $A_{13}$ and $S_{13}$ mod $2$ are now known.\cr
NEW&A_{14}&:&The tables of $A_{14}$ mod $2$, $11$, $13$ and
tables of $S_{14}$ mod $3$, $5$, $7$ are now known.\cr
NEW&A_{15}&:&All Brauer tables of $S_{15}$ are now known \contrib{by J\"urgen M\"uller}.\cr
NEW&A_{16}&:&All Brauer tables of $S_{16}$ are now known \contrib{by J\"urgen M\"uller}.\cr
NEW&A_{17}&:&All Brauer tables except the $3$-modular one of $S_{17}$
are now known \contrib{by J\"urgen M\"uller}.\cr
NEW&Co_2&:&The degree $156\,538$ character of $Co_2$ mod $2$ is now
proved.\cr
NEW&Co_3&:&One more indicator of $Co_3$ mod $2$ is now known.\cr
***&Fi_{22}&:&The faithful characters of $6.Fi_{22}$ and $6.Fi_{22}.2$
mod $5$
were corrected.\cr
***&L_3(4)&:&The faithful characters of $12_2.L_3(4)$ mod $7$ were
corrected.\cr
NEW&O_8^+(3)&:&The degree $50\,596$ characters of $O_8^+(3)$ mod $2$
are now proved.
Consequently, also the degree $101\,192$ of $O_8^+(3).2_1$ mod $2$,
the degrees $50\,596$ and $101\,192$ of $O_8^+(3).2_2$ mod $2$,
the degrees $50\,596$ and $151\,288$ of $O_8^+(3).3$ mod $2$,
and the degree $202\,384$ of $O_8^+(3).4$ mod $2$ are now proved.\cr
C&ON&:&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''.\cr
NEW&ON&:&The tables of $ON$ mod $11$ and mod $31$ are now known \contrib{by Markus Ottensmann},
as well as two new indicator values for $ON$ mod $2$.\cr
C&Ru&:&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''.\cr
NEW&Ru&:&The tables of $Ru$ and $2.Ru$ mod $13$ and $29$ are now known \contrib{by Frank R\"ohr},
as well as all indicator values of $Ru$ mod $2$.\cr
***&S_6(3)&:&The characters of $S_6(3)$ and $2.S_6(3)$ mod $7$ were
corrected;
these changes do not affect the tables of $S_6(3).2$ and $2.S_6(3).2$
mod $7$ \contrib{by J\"urgen M\"uller}.\cr
***&Suz&:&The faithful characters of $6.Suz$ and $6.Suz.2$ mod $7$ were
corrected % (bug reported by William Husen, correction by J\"urgen M\"uller) \contrib{by J\"urgen M\"uller}.\cr
NEW&Th&:&The table of $Th$ mod $19$ is now known.\cr}
\bigbreak
{\bf Ordinary Tables}
The following changes affect several ordinary tables.
\medbreak
\halign{\hfil{\bf #}&\quad \vtop{\parindent0pt\hsize=43em\strut#\strut}\cr
C&Whitespace at the end of {\tt InfoText} strings was removed.\cr
NEW&Various class fusions were added.\cr
NEW&Components {\tt tomidentifier} and {\tt tomfusion} were added
in order to provide a (preliminary) interface to
the library of tables of marks.\cr
C&In the library tables of alternating and symmetric groups,
the {\tt classtext} components
(partitions parametrizing the conjugacy classes;
in some cases, this had been hidden inside the {\tt CAS}
component of the table)
were replaced by values of the attribute {\tt ClassParameters}.\cr
NEW&The tables of $L_2(q)$ were added for those values of $q$ for which
the table of marks of $L_2(q)$ is now contained in the {\GAP} library.\cr
NEW&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}.\cr
C&The {\tt Identifier} values of a few tables have been changed.
For example, the table of {\tt L4(3).2\^{}2} was previously known only as
{\tt psl(4,3).v4}.
The old names are still valid.\cr
***&The character tables with identifiers {\tt iu332}, {\tt D2MJ4},
and {\tt P4L82} were removed.
The former two tables were incomplete, the latter one was wrong.\cr
NEW&The ordinary tables of all maximal subgroups
(and their class fusions)
are now available for the groups $G_2(3)$, $J_3.2$, $2.M_{12}$,
$M_{12}.2$, $M_{22}.2$, and $O_8^+(3)$.\cr}
\medbreak
The following changes are assigned to specific simple groups,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
***&A_6&:&The table automorphisms of $4.A_6.2_3$ were corrected.\cr
NEW&Fi_{22}&:&The table of the maximal subgroup $2^7\!:\!S_6(2)$
of $Fi_{22}.2$ was added \contrib{by E. Mpono}.\cr
NEW&Fi_{22}&:&The table of the maximal subgroup $2^6\!:\!U_4(2).2$
of the maximal subgroup $2^6\!:\!S_6(2)$ of $Fi_{22}$ was added \contrib{by E. Mpono}.\cr
NEW&HS&:&The tables (and fusions) of several normalizers of chains of
$p$-subgroups were added.\cr
C&J_4&:&The classes and the characters of the maximal subgroup of type
$2^{10}\!:\!L_5(2)$ were reordered,
and the identifier was changed from {\tt l52m10} (from the {\CAS} library)
to {\tt 2\^{}10:L5(2)}.\cr % Make the old table available again, with the old name! (ctomaxi6.tbl)
NEW&McL&:&The table of the seventh maximal subgroup of $McL.2$ was added.\cr
C&O_8^+(2)&:&The classes and the characters of the maximal subgroup of
type $2^6\!:\!A_8$ were reordered,
and the identifier was changed from {\tt mo81p} (from the {\CAS} library) to
{\tt 2\^{}6:A8}.\cr % Make the old table available again, with the old name! (ctomisc2.tbl) % The same holds for the table with name `y' ! (ctomisc6.tbl)
C&O_8^+(3)&:&The fusions from $O_7(3)$ and $3^6\!:\!L_4(3)$ were changed
to the ones listed in the Atlas of Finite Groups.\cr
NEW&O_{10}^+(2)&:&The table of the maximal subgroup $2^8\!:\!O_8^+(2)$
was added.\cr
NEW&S_{10}(2)&:&The table of the subgroup $2^8\!:\!S_8(2)$ was added.\cr
NEW&U_4(3)&:&The tables of $2.U_4(3).(2^2)_{122}$ and $6_2.U_4(3).2_3'$
were added.\cr}
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of {\GAP}~4.2 in March 2000}
\bigbreak
{\bf Brauer Tables}
Changes are assigned to the simple group involved,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&A_{14}&:&Table of $S_{14}$ mod $2$ is now known \contrib{by Dave Benson, added by J\"urgen M\"uller}.\cr
***&A_{16}&:&Corrected principal block of the table of $S_{16}$ mod $2$.\cr
NEW&ON&:&The tables of $3.ON$ mod $11$ and $31$ are now known.\cr
C&ON&:&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 $77670$.) \cr}
\bigbreak
{\bf Ordinary Tables}
The following changes affect several ordinary tables.
\medbreak
\halign{\hfil{\bf #}&\quad \vtop{\parindent0pt\hsize=43em\strut#\strut}\cr
NEW&Various class fusions were added.\cr
C&The {\tt galomorphisms} components which had been contained in only a few
tables were removed.\cr
***&The {\tt tomfusion} values of $L_2(25)$ and $2^5:S_6$ were corrected.\cr
***&Element orders and power maps in the table with identifier
{\tt s61p} were corrected.\cr
***&The table with identifier {\tt 2.cenc1} was removed because it was
inconsistent.\cr % no power maps possible ...
C&Two instances of the table of $(A_6 \times A_6):2^2$ were unified.\cr
C&The tables with identifiers {\tt J2.2M4}, {\tt 2\^{}(2+4):(3x3):2\^{}2},
and {\tt 2\^{}(2+4):(S3xS3)} were unified;
the identifiers {\tt J2.2M5} and {\tt 2\^{}(2+4):(S3xS3)} can be used to
access the table.\cr
NEW&The ordinary tables of all maximal subgroups
(and their class fusions)
are now available for the groups $S_6$, $J_2.2$, $McL.2$, $Suz.2$,
$3.Suz$, $3.Suz.2$, $Sz(32)$.\cr}
\medbreak
The following changes are assigned to specific simple groups,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&A_6&:&The table of $12.A_6.2_3$ is now available.\cr
***&Fi_{22}&:&The name of the table of the $7$-th maximal subgroup
of $Fi_{22}$ was corrected from {\tt (2x2\^{}(1+8):U4(2)):2} to
{\tt (2x2\^{}(1+8)):U4(2):2};
similarly, {\tt (2x2\^{}(1+8):U4(2):2):2} was corrected to
{\tt (2x2\^{}(1+8)):(U4(2):2x2)}.\cr
NEW&Fi_{22}&:&The tables of the maximal subgroups $2^{10}:M_{22}:2$ of
$Fi_{22}.2$ and $2^{11}.M_{22}$ of $2.Fi_{22}$ are now available
via the names {\tt Fi22.2M4} and {\tt 2.Fi22M5}, respectively.\cr
C&U_3(5)&:&The table with identifier {\tt U3(5).S3} was removed;
it is replaced by the table with identifier {\tt U3(5).3.2}
whose cosets of the outer automorphism group are ordered as in the
Atlas of Finite Groups.
The identifier {\tt U3(5).S3} is now admissible for the table with
identifier {\tt U3(5).3.2}.\cr
***&U_4(3)&:&The table with identifier {\tt u4q3c} was removed;
characters and power maps of this table were erroneous.
Apparently the table was thought to be that of $3_2.U_4(3).2_3^{\prime}$,
which can be accessed with the name {\tt 3\_2.U4(3).2\_3'}.\cr
NEW&U_4(3)&:&The tables of $3_2.U_4(3).(2^2)_{133}$ and $U_4(3).(2^2)_{133}$
are now available.\cr}
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.0 in January 2002}
\bigbreak
{\bf Brauer Tables}
Changes are assigned to the simple group involved,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&A_{14}&:&The tables of $A_{14}$ mod $3, 5, 7$
and of $S_{14}$ mod $11, 13$ are now known \contrib{by J\"urgen M\"uller, using {\MOC} and the {\GAP} package
{\tt specht}}.\cr
NEW&A_{17}&:&The table of $A_{17}$ mod $3$ is now known \contrib{by J\"urgen M\"uller}.\cr
NEW&F_{3+}&:&All Brauer tables of the maximal subgroup $3^7.O_7(3)$,
and the $2$-modular table of the maximal subgroup
$(3 \times O_8^+(3)\colon 3)\colon 2$ are available \contrib{by Gerhard Hi\ss{}}.\cr
NEW&L_4(4)&:&The tables of $L_4(4)$ mod $3, 5, 7, 17$ are now known \contrib{by Gerhard Hi\ss{}}.\cr
NEW&Ly&:&The tables of $Ly$ mod $37$ and $67$ are now known \contrib{by J\"urgen M\"uller, Max Neunh\"offer, Frank R\"ohr,
Robert Wilson}.\cr
NEW&O_8^+(3)&:&The table of $O_8^+(3).S_3$ mod $2$ is available.\cr
NEW&&&The table of $O_8^+(3).S_3$ mod $2$ is available.\cr
NEW&S_{10}(2)&:&The tables of $S_{10}(2)$ mod $7, 11, 17, 31$ are now known \contrib{by Gerhard Hi\ss{}}.\cr}
\bigbreak
{\bf Ordinary Tables}
The following changes affect several ordinary tables.
\medbreak
\halign{\hfil{\bf #}&\quad \vtop{\parindent0pt\hsize=43em\strut#\strut}\cr
NEW&The ordinary tables of the Schur covers of the symmetric groups
$S_{14}$, $S_{15}$, $S_{16}$, $S_{17}$, and $S_{18}$ are now available \contrib{by Gunter Malle}.\cr
NEW&The ordinary tables of all maximal subgroups
(and their class fusions)
are now available for the group $2.HS$ \contrib{by Ulrike Muthmann, Markus Ottensmann, and Frank R\"ohr}.\cr
NEW&The ordinary tables of all maximal subgroups
(and their class fusions)
are now available for the groups $2.Suz$ and $6.Suz$ \contrib{by Thomas Breuer and Frank Himstedt}.\cr
NEW&The ordinary tables of all maximal subgroups (and their class fusions)
are now available for the group $S_6(3)$.\cr}
\medbreak
The following changes are assigned to specific simple groups,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&E_6(2)&:&The table of the Chevalley group $E_6(2)$ is now available \contrib{by B. Fischer}.\cr
NEW&F_{3+}&:&The table of the maximal subgroup
$2^{1+12}.3_1.U_4(3).2_2^{\prime}$ of $F_{3+}$ is now available
via the names {\tt 2\^{}(1+12).3\_1.U4(3).2\_2'}, {\tt F3+M9},
and {\tt F3+C2B}.\cr
&&&The table of the maximal subgroup
$3^3.[3^{10}].GL3(3)$ of $F_{3+}$ is now available
via the name {\tt 3\^{}3.[3\^{}10].GL3(3)}.\cr
NEW&F_{3+}.2&:&The table of the maximal subgroup
$3^7.O_7(3):2$ of $F_{3+}.2$ is now available \contrib{by Faryad Ali}.\cr
***&HS&:&The earlier (since {\CAS} times) stored fusion of
$2 \times A_6.2^2$ into $HS$ did not lift to $2.HS$
and therefore was replaced by a compatible map.\cr
NEW&L_3(4)&:&The table of $2^2.L_3(4).2_2$ is now available.\cr
NEW&L_4(9)&:&The table of $L_4(9)$ is now available.\cr
NEW&M&:&The table of the maximal subgroup $2^{1+24}.Co_1$ is now available \contrib{by Simon Norton}.\cr
NEW&S_4(7)&:&The tables of $S_4(7)$ and $S_4(7).2$ are now available.\cr
NEW&S_6(2)&:&The table of the maximal subgroup $2^6\colon S_8$
of $2^6\colon S_6(2)$ (which is maximal in $Fi_{22}$) is now available \contrib{by Faryad Ali}.\cr
NEW&S_6(4)&:&The table of $S_6(4)$ is now available.\cr
NEW&S_6(5)&:&The table of $S_6(5)$ is now available.\cr
NEW&S_{12}(2)&:&The table of $S_{12}(2)$ is now available \contrib{by Christoph K\"ohler}.\cr
***&Suz&:&The earlier (since {\CAS} times) stored fusion of
$(3^2 \colon 4 \times A_6).2$ into $Suz$ did not lift to $3.Suz$
and therefore was replaced by a compatible map.\cr
NEW&U_4(3)&:&The table of $3_1.U_4(3).2_2^{\prime}$ was added.\cr
NEW&U_4(4)&:&The table of $U_4(4)$ is now available.\cr
NEW&U_6(2)&:&The table of the Schur cover $(2^2 \times 3).U_6(2)$
is now available.\cr}
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.1 in February 2004}
\bigbreak
{\bf Brauer Tables}
The following changes affect several Brauer tables.
\medbreak
\halign{\hfil{\bf #}&\quad \vtop{\parindent0pt\hsize=43em\strut#\strut}\cr
NEW&The $p$-modular tables of $G.S_3$ are available for all prime divisors
$p$ of $|G|$, for $G$ one of $L_3(7)$, $3.L_3(7)$, $U_3(5)$, $3.U_3(5)$,
$U_3(8)$, $3.U_3(8)$, $U_3(11)$, and $3.U_3(11)$.\cr}
The following changes are assigned to the simple group involved,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&Co_2&:&The indicators of the $36938$ and $83948$ in $Co_2$ mod $2$ are $+$ \contrib{by Jon Thackray}.\cr
NEW&Co_3&:&The indicator of the $88000$ in $Co_3$ mod $2$ is $+$ \contrib{by Jon Thackray}.\cr
NEW&J_4&:&The tables of $J_4M1$ mod $3$ and $11$ are available \contrib{by Christoph Jansen}.\cr
NEW&O_8^+(3)&:&The tables of $O_8^+(3).S_4$ mod $2$, $5$, and $7$ are
available \contrib{by Christoph Jansen}.\cr
NEW&ON&:&The tables of $ON.2$ and $3.ON.2$ mod $11$ and $31$ are available \contrib{by J\"urgen M\"uller}.\cr
NEW&ON&:&The indicator of the $25916$ in $ON$ mod $2$ is $+$ \contrib{by Jon Thackray}.\cr
NEW&Suz&:&The indicators of $10504$ in $Suz$ mod $2$ and $Suz.2$ mod $2$
are $+$ \contrib{by Jon Thackray}.\cr}
\bigbreak
{\bf Ordinary Tables}
The following changes affect several ordinary tables.
\medbreak
\halign{\hfil{\bf #}&\quad \vtop{\parindent0pt\hsize=43em\strut#\strut}\cr
***&The table automorphisms were corrected for the tables with the identifiers
{\tt A17}, {\tt 2.A4xS3}, {\tt 4.M22M6}, {\tt 3.2\^{}(2+4):(3x3):2}, \
{\tt 3\^{}(1+6):2\^{}(3+4):3\^{}2:2}, \
{\tt 5:4x2.A5}, \
{\tt D8xV4}, \
{\tt 3.3\^{}5.U4(2)}, \
{\tt 3\^{}5.U4(2)}, \
{\tt group3},
{\tt s61p},
{\tt 2.(A4xA4)}, {\tt 3\^{}3:A4}, {\tt 3\^{}7.O7(3)}, {\tt ThN2}, and
{\tt 2\^{}2.2E6(2).2};
one reason for these errors were missing power maps.\cr
C&The formerly admissible names {\tt c1}, {\tt c2}, {\tt c3} for the groups
$Co_1$, $Co_2$, $Co_3$ have been removed, because these names are now
admissible names of cyclic groups.
The names {\tt c1m1}, {\tt c1m4}, {\tt c1m5}, {\tt c1m24},
{\tt c1n3}, {\tt c2m1}, {\tt c2m2}, {\tt c2m3}, {\tt c2m4}, {\tt c2m5},
{\tt c2m6}, {\tt c2m7}, {\tt c2m8}, {\tt c2m9}, {\tt c2m10}, {\tt c2m11},
{\tt c2m22}, (now called {\tt M22C2A}), {\tt c2m24} (now called {\tt M24C2B}),
{\tt c3m1}, {\tt c3m2}, {\tt c3m3}, {\tt c3m4},
{\tt c3m5}, {\tt c3m6}, {\tt c3m7}, {\tt c3m8}, {\tt c3m9}, {\tt c3m10},
{\tt c3m11}, {\tt c3m12}, {\tt c3m13}, {\tt c3m14}, {\tt c3n2}, {\tt c3n3},
{\tt c3n5}, {\tt mcn2}, {\tt mcn3}, {\tt mcn5}, {\tt om83}, {\tt o8m2},
{\tt o8m2.2}, {\tt o10m2}, {\tt o10m2c}, {\tt o12m2}, {\tt rvn2},
{\tt s2m11}, {\tt s2m12},
{\tt s2m21}, {\tt s2m23}, and {\tt s2m24} (now called {\tt M24C2A})
were removed because they would refer to maximal subgroups of other groups
or of groups with nonadmissible names.
The names {\tt u4q3.s3} and {\tt f22u3} were removed, the table is now
available with the name {\tt S3xU4(3)}.\cr
C&The ordering of maximal subgroups was changed for $A_5.2$, $A_6.2_1$,
$J_3.2$, $M_{12}.2$, and $McL.2$, in order to be compatible with the
{\ATLAS} of Group Representations.\cr
***&The following class fusions were corrected.
$2^7\!:\!S_6(2)$ onto $S_6(2)$ and into $Fi_{22}.2$;
$3.3^{1+4}\!:\!4S_5$ into $3.McL.2$;
$D_8 \times V_4$ into $HS$;
$3.2^{2+4}\!:\!(3 \times 3)\!:\!2$ into $3.McL$, $3.2^4\!:\!A_7$,
and $3.McLM10$;
$4.M_{22}M6$ into $4.M_{22}$;
$G_2(3)M6$ into $G_2(3)$;
$A_5.2$ into $M_{12}.2$;
$A_{11}Syl2$ into $A_{11}$.\cr
NEW&Missing power maps were added for the tables
{\tt suzs2}, {\tt Fi22N3}, {\tt RuN2}, {\tt SuzN2}, {\tt ThN2},
for $L_2(q)$, for various values of $q$,
and for {\tt 7:3}, {\tt 23:11}, {\tt 11:10},
due to the availability of power maps in the underlying generic character
tables.\cr
NEW&The tables of all maximal subgroups are available for
$A_5$, $A_6$, $A_7$, $A_7.2$, $G_2(4)$, $L_2(11)$, $L_2(11).2$, $U_3(3).2$,
$U_5(2)$.\cr
NEW&Several ordinary tables were added for which the tables of marks of the
underlying groups are available in the {\GAP} 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 {\GAP} Library of Tables of Marks stores a
class fusion into the table of marks.\cr
NEW&Several ordinary tables of Sylow normalizers in sporadic simple
groups are available, including the normalizers of cyclic Sylow subgroups.\cr % not yet all ...
NEW&The ordinary tables of $G.S_3$ are available for $G$ one of
$2^2.L_3(4)$, $L_3(7)$, $3.L_3(7)$, $2^2.O_8^+(2)$, $3.U_3(5)$, $U_3(8)$,
$3.U_3(8)$, $U_3(11)$, $3.U_3(11)$.\cr
NEW&The ordinary tables of $L_4(5)$, $O_7(5)$, $O_7(5).2$, $O_9(3)$, $S_4(8)$,
$S_8(3)$, $U_4(5)$ are available.\cr
NEW&Generic character tables are available for the double covers of
alternating and symmetric groups \contrib{by Felix Noeske}.\cr}
\medbreak
The following changes are assigned to specific simple groups,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
C&A_6&:&The fusions of $A_6$, $A_6.2_1$, $2.A_6$ into the tables of marks
were changed in order to make diagrams of fusions commutative.\cr
NEW&B&:&The tables of the maximal subgroups of the types
$3^{1+8}.2^{1+6}.U_4(2).2$ and $(2^2 \times F_4(2))\!:\!2$,
and the table of the Sylow $7$ normalizer are available,
as well as the table of the maximal subgroup of the type
$(S_3 \times 2.Fi_{22}).2$ in $2.B$.\cr
NEW&Co_1&:&The table of the Sylow $5$ normalizer is available.\cr
NEW&Co_2&:&The table of the Sylow $2$, $3$, and $7$ normalizers are available. \cr
NEW&Fi_{24}^{\prime}&:&The tables of the maximal subgroups
$3^2.3^4.3^8.(A_5 \times 2A_4).2$, $2^{3+12}.(L_3(2) \times A_6)$, and
$2^{6+8}.(S_3 \times A_8)$ and their class fusions are now available \contrib{by Alexander Hulpke}.\cr
NEW&&&The tables of the Sylow $5$ and $7$ normalizer are available.\cr
NEW&HN&:&The table of the maximal subgroup $4.HS.2$ of $HN.2$ is available.\cr
C&HS&:&The class fusion of $HS$ into $Co_3$ was replaced by one
that is compatible with the Brauer tables available.\cr
C&J_2&:&The class fusion of $2.J_2.2$ into $2.Suz$ was replaced by one
that is compatible with the Brauer tables available.\cr
***&&&The class fusion of $2.HS.2$ into $HN$ was corrected.\cr
***&J_4&:&The table with identifier {\tt (3\^{}(1+2)x2).SD16} is {\bf not}
that of the Sylow $3$ normalizer in $J_4$; the name {\tt J4N3} is no longer
admissible for this table (reported by G.~Navarro and A.~Moreto).\cr
NEW&&&The table of the Sylow $3$ normalizer in $J_4$ is available,
via the names {\tt (2x3\^{}(1+2)\_+:8):2} and {\tt J4N3}.\cr
C&L_2(11)&:&The class fusion of $L_2(11)$ into $J_1$ was replaced by one
that is compatible with the Brauer tables available.\cr
C&L_2(16)&:&The class fusions of $L_2(16).2$ into $J_3$ and of $L_2(16).4$
into $J_3.2$ were replaced by maps
that are compatible with the Brauer tables available.\cr
C&L_2(19)&:&The class fusion of $L_2(19)$ into $J_3$ was replaced by
one that is compatible with the Brauer tables available.\cr
C&L_2(27)&:&The class fusion of $L_2(27).3$ into $S_6(3)$ was replaced by
one that is compatible with the Brauer tables available.\cr
C&L_3(3)&:&The class fusions of $L_3(3).2$ into $G_2(3)$
and $S_6(3)$ were replaced by
maps that are compatible with the Brauer tables available.\cr
C&L_3(4)&:&The class fusions of $4_2.L_3(4).2_1$ into $ON$
and of $4_2.L_3(4).2_3$ into $4.U_4(3).2_3$ were replaced by
maps that are compatible with the Brauer tables available.\cr
NEW&&&The tables of $2^2.L_3(4).2_3$ and $2^2.L_3(4).3$ are available.\cr
NEW&L_3(11)&:&The table of $L_3(11)$ is available \contrib{by Frank L\"ubeck,
computed with a program written by Boris Hemkemeier and Ulf J\"urgens}.\cr
C&L_4(3)&:&The class fusion of $L_4(3).2_2$ into $O_7(3)$ was replaced by
one that is compatible with the Brauer tables available.\cr
NEW&L_8(2)&:&The table of $L_8(2)$ is available \contrib{by Frank L\"ubeck,
computed with a program written by Boris Hemkemeier and Ulf J\"urgens}.\cr
NEW&M&:&The tables of the Sylow $11$ and $13$ normalizer in $M$ are available,
via the names {\tt MN11} and {\tt MN13}.\cr
NEW&&&The tables with the names {\tt 4.2\^{}2}, {\tt (2\^{}2x3).2},
{\tt 1/2(8xS3)}, {\tt M12C4}, {\tt 7\^{}1+2.6}, {\tt 2x3.A6},
{\tt 5\^{}1+2.2A4}, {\tt (4xA6).2\^{}2}, {\tt 13\^{}1+2.2A4},
{\tt 7\^{}1+4.2A7} are available \contrib{by Simon Norton}.\cr
C&M_{23}&:&The class fusion of $M_{23}$ into $Co_3$ was replaced by
one that is compatible with the Brauer tables available.\cr
C&M_{24}&:&The class fusion of $2^4\!:\!A_8$ into $M_{24}$ was replaced by
one that is compatible with the Brauer tables available.\cr
C&McL&:&The class fusion of $McL.2$ into $Co_3$ was replaced by one
that is compatible with the Brauer tables available.\cr
***&&&The $2$nd power map of the table of the maximal subgroup of type
$3.3^{1+4}\!:\!4S_5$ of $3.McL.2$ was corrected.\cr
C&O_8^-(2)&:&The class fusion of $O_8^-(2).2$ into $S_8(2)$ was replaced
by one that is compatible with the Brauer tables available.\cr
NEW&O_8^+(2)&:&The tables of $2^2.O_8^+(2).2$ and $2^2.O_8^+(2).3$
are available, as well as the table of the maximal subgroup of the type
$2^{1+6}_+.A_8$ of $2.O_8^+(2)$.\cr
NEW&O_8^+(3)&:&The table of $O_8^+(3).D_8$ is available.\cr
NEW&&&The tables of the maximal subgroup $2^2.(U_3(3).2 \times S_4)$
of $O_8^+(3).S_4$ and of the maximal subgroups
$3^{3+6}\!:\!(L_3(3) \times D_8)$ and $3^6.L_4(3).D_8$ of $O_8^+(3).D_8$
are available.\cr
NEW&O_8^-(3)&:&The table of $O_8^-(3).2_1$ is available.\cr
NeW&O_9(3)&:&The table of the maximal subgroup of type $2^8.A_9$
is available.\cr
C&S_4(4)&:&The class fusion of $S_4(4).2$ into $S_8(2)$ was replaced by one
that is compatible with the Brauer tables available.\cr
C&S_6(3)&:&The class fusion of $3^6\!:\!L_3(3)$ into $S_6(3)$ was replaced
by one that is compatible with the Brauer tables available.\cr
C&U_3(5)&:&The class fusion of $3.U_3(5)$ into $3.McL$ was replaced by one
that is compatible with the Brauer tables available.\cr
NEW&U_4(3)&:&The table of $2^2.U_4(3).(2^2)_{122}$ is available.\cr}
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.2 in May 2012}
\bigbreak
{\bf Brauer Tables}
The following changes are assigned to the simple group involved,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&A_6&:&The Brauer tables of $A_6.2^2$, $3.A_6.2^2$ are available.\cr
NEW&A_{15}&:&The Brauer tables of $A_{15}$ are available \contrib{by J\"urgen M\"uller}.\cr
NEW&A_{16}&:&The Brauer tables of $A_{16}$ are available \contrib{by J\"urgen M\"uller}.\cr
NEW&A_{17}&:&The Brauer tables of $A_{17}$ are available \contrib{by J\"urgen M\"uller}.\cr
NEW&A_{19}&:&The $2$-modular Brauer tables of $A_{19}$, $S_{19}$
are available \contrib{by Lukas Maas and J\"urgen M\"uller}.\cr
NEW&{}^2E_6(2)&:&The tables of $2^2.{}^2E_6(2)$ mod $11, 13, 17, 19$
are available.\cr
NEW&Fi_{22}&:&The $3$-modular tables of $Fi_{22}$, $Fi_{22}.2$, $2.Fi_{22}$,
$2.Fi_{22}.2$ and the $2$-modular tables of $Fi_{22}$, $Fi_{22}.2$,
$3.Fi_{22}$, $3.Fi_{22}.2$
are available \contrib{by Felix Noeske}.\cr
NEW&Fi_{23}&:&
The $2$-modular table of $Fi_{23}$ is available \contrib{by Gerhard Hiss, Max Neunh\"offer, and Felix Noeske}.
The $17$-modular table of $Fi_{23}$ is available \contrib{by J\"urgen M\"uller}.\cr
***&F_{3+}&:&The wrong $3$- and $11$-modular tables of $F_{3+}$ from the
earlier version are no longer available.\cr
NEW&HN&:&
The $2$-modular table of $HN$, $HN.2$ are available \contrib{by Jon Thackray}.
The $3$-modular table of $HN$, $HN.2$ are available \contrib{by Gerhard Hiss, J\"urgen M\"uller, Felix Noeske, and Jon Thackray}.
The $5$-modular table of $HN$, $HN.2$ are available \contrib{by Klaus Lux, Felix Noeske, Alex Ryba}.\cr
NEW&L_2(25)&:&The Brauer tables of $L_2(25).2^2$ are available.\cr
NEW&L_2(49)&:&The $2$-, $3$-, and $5$-modular Brauer tables of $L_2(49).2^2$
are available.\cr
***&L_2(81)&:&The degree $80$ character in the $41$-modular table of
$L_2(81).2_3$ was wrong.\cr
NEW&&&The $2$-modular table of $L_2(81).(2 \times 4)$
and the $2$-, $5$-, and $41$-modular tables of $L_2(81).2^2$
are available.\cr
NEW&L_3(4)&:&The Brauer tables of
$L_3(4).2^2$,
$L_3(4).3.2_2$,
$L_3(4).3.2_3$,
$L_3(4).D_{12}$,
$2.L_3(4).2^2$ (eight groups),
$3.L_3(4).2^2$, \
$3.L_3(4).3.2_2$, \
$2^2.L_3(4)$, \
$2^2.L_3(4).2_1$, \
$2^2.L_3(4).2_2$, \
$2^2.L_3(4).2_3$, \
$2^2.L_3(4).3$,
$2^2.L_3(4).2^2$,
$2^2.L_3(4).3.2_2$,
$2^2.L_3(4).3.2_3$,
$2^2.L_3(4).D_{12}$,
$(2^2 \times 3).L_3(4)$,
$(2^2 \times 3).L_3(4).2_2$,
$(2^2 \times 3).L_3(4).2_3$,
$(2^2 \times 3).L_3(4).3$
are available.\cr
NEW&L_3(9)&:&The Brauer tables of $L_3(9).2^2$
are available.\cr
NEW&L_4(4)&:&The $2$-modular tables of $L_4(4)$ \contrib{by Frank L\"ubeck}, $L_4(4).2_1$, $L_4(4).2_2$,
$L_4(4).2_3$, $L_4(4).2^2$
are available.\cr
NEW&O_8^+(2)&:&The Brauer tables of
$O_8^+(2).S_3$,
$2^2.O_8^+(2)$,
$2^2.O_8^+(2).2$,
$2^2.O_8^+(2).3$,
$2^2.O_8^+(2).S_3$
are available.\cr
C&O_8^+(3)&:&Adjusted the $5$- and $7$-modular table to the changes of the
ordinary table.\cr
NEW&&&The $2$-, $5$-, $7$-, $13$-modular tables of
$O_8^+(3).2^2_{111}$,
$O_8^+(3).2^2_{122}$,
$O_8^+(3).S_3$,
$O_8^+(3).A_4$,
$O_8^+(3).D_8$ are available,
as well as the $13$-modular table of $O_8^+(3).S_4$.\cr
***&S_6(3)&:&The $13$-modular tables of $S_6(3)$, $S_6(3).2$, $2.S_6(3)$,
$2.S_6(3).2$ are available.\cr
NEW&Sz(8)&:&The Brauer tables of $2^2.Sz(8)$ are available.\cr
NEW&U_4(3)&:&The Brauer tables of \
$U_4(3).2^2_{122}$, \
$U_4(3).2^2_{133}$, \
$U_4(3).D_8$, \
$2.U_4(3).2^2_{122}$ (six groups), \
$2.U_4(3).2^2_{133}$ (six groups), \
$3_1.U_4(3).2_2'$, \
$3_2.U_4(3).2_3'$, \
$3_2.U_4(3).2^2_{133}$, \
$6_2.U_4(3).2_3'$ \
are available.\cr
NEW&U_6(2)&:&The Brauer tables of
$U_6(2).S_3$,
$3.U_6(2).S_3$,
$2^2.U_6(2)$,
$2^2.U_6(2).2$,
$2^2.U_6(2).3$,
$2^2.U_6(2).S_3$,
$(2^2 \times 3).U_6(2)$,
$(2^2 \times 3).U_6(2).2$,
$(2^2 \times 3).U_6(2).3$
are available.\cr}
\bigbreak
{\bf Ordinary Tables}
The following bugfixes are not related to the character tables of
simple groups.
\halign{\hfil{\bf #}&\quad{\tt #}\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=34em\strut#\strut}\cr
***&13\^{}1+2.2A4&:&The second power map in the character table with this name
was not correct.\cr
***&2.Sym4&:&This name would be that of a maximal subgroup;
the table was renamed to {\tt 2.Symm(4)}.\cr
***&2xSym4&:&This name would be that of a maximal subgroup;
the table was renamed to {\tt 2xSymm(4)}.\cr
***&d60&:&The table with this name belongs to the dihedral group of order
$120$, it was renamed to {\tt D120}.\cr
***&P12/G1/L2/V1/ext2&:&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''.)\cr
***&P41/G1/L1/V4/ext2&:&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''.) \cr
***&s61&:&This name would be that of a symmetric group;
the table was is now available as $A_8.2N2$.\cr
***&Sym4&:&This name would be that of a maximal subgroup;
the table was renamed to {\tt Symm(4)}.\cr}
\medbreak
The following changes affect several ordinary tables.
\medbreak
\halign{\hfil{\bf #}&\quad \vtop{\parindent0pt\hsize=43em\strut#\strut}\cr
NEW&An ordinary character table is available for each table in the library of
tables of marks.\cr
C&The class fusion to the table of marks was changed for
$A_6$,
$A_6.2_1$,
$2.A_6$,
$G_2(3)$,
$He$,
$L_2(11).2$,
$L_2(25)$,
$L_2(121)$,
$L_3(4)$,
$3.L_3(4)$,
$2^2.L_3(4)$,
$L_3(7)$,
$M_{12}$,
$McL.2$,
$O_8^+(2)$,
$S_4(4)$,
$S_4(4).2$,
$S_4(5)$,
$U_3(3)$,
$U_3(3).2$,
$U_3(5)$,
$U_3(8)$,
$U_4(2)$,
$U_4(2).2$,
$U_4(3)$,
$U_4(3).2_1$,
$U_4(3).2^2_{133}$.\cr
NEW&The tables of all maximal subgroups are available for
$2.A_5$,
$2.A_6$,
$3.A_6$,
$6.A_6$,
$2.A_7$,
$3.A_7$,
$6.A_7$,
$A_8$,
$A_8.2$,
$2.A_8$,
$A_9$,
$A_9.2$,
$2.A_9$,
$A_{10}$,
$A_{10}.2$,
$2.A_{10}$,
$2.A_{11}$,
$A_{11}$,
$A_{11}.2$,
$A_{12}$,
$A_{12}.2$,
$2.A_{12}$,
$A_{13}$,
$A_{13}.2$,
$B$,
$F_{3+}.2$,
$Fi_{22}.2$,
$G_2(3).2$,
$3.G_2(3)$,
$2.G_2(4)$,
$G_2(5)$,
$He.2$,
$HN.2$,
$HS.2$,
$2.L_2(11)$,
$L_2(13)$,
$2.L_2(13)$,
$L_2(17)$,
$2.L_2(17)$,
$L_2(19)$,
$2.L_2(19)$,
$L_2(23)$,
$2.L_2(23)$,
$L_2(25)$,
$2.L_2(25)$,
$L_2(27)$,
$2.L_2(27)$,
$L_2(29)$,
$2.L_2(29)$,
$L_2(31)$,
$2.L_2(31)$,
$L_2(109)$,
$L_2(113)$,
$L_2(121)$,
$L_2(125)$,
$L_3(2)$,
$2.L_3(2)$,
$L_3(3)$,
$L_3(4)$,
$L_3(4).D_{12}$,
$2.L_3(4)$,
$3.L_3(4)$,
$2^2.L_3(4)$,
$2^2.L_3(4).2_2$,
$2^2.L_3(4).3$,
$L_3(5)$,
$L_3(7)$,
$3.L_3(7)$,
$L_3(8)$,
$L_3(9)$,
$L_3(11)$,
$L_4(3)$,
$L_5(2)$,
$L_6(2)$,
$L_7(2)$,
$2.M_{22}.2$,
$O_7(3)$,
$2.O_7(3)$,
$3.O_7(3)$,
$6.O_7(3)$,
$O_8^-(2)$,
$O_8^+(2)$,
$2.O_8^+(2)$,
$2^2.O_8^+(2)$,
$ON.2$,
$2.Ru$,
$S_4(4)$,
$S_4(4).2$,
$S_4(5)$,
$2.S_6(2)$,
$S_8(2)$,
$Sz(8)$,
$Sz(8).3$,
$2.Sz(8)$,
$2^2.Sz(8)$,
$U_3(3)$,
$U_3(4)$,
$U_3(4).2$,
$U_3(5)$,
$U_3(5).2$,
$U_3(5).3$,
$U_3(5).S_3$,
$3.U_3(5)$,
$U_3(7)$,
$U_3(8)$,
$U_3(9)$,
$U_3(11)$,
$U_4(2)$,
$U_4(2).2$,
$2.U_4(2)$,
$2.U_4(2).2$,
$U_4(3)$,
$U_4(3).2_1$,
$U_4(3).2_3$,
$U_4(3).(2^2)_{133}$,
$U_6(2)$,
$2.U_6(2)$,
$3.U_6(2)$,
$6.U_6(2)$,
${}^2F_4(2)'.2$.\cr
NEW&Tables of isoclinic variants of the groups
$6.A_7.2$,
$2.A_{11}.2$,
$2.A_{12}.2$,
$2.A_{13}.2$,
$2.Fi_{22}.2$,
$6.Fi_{22}.2$,
$2.HS.2$,
$2.J_2.2$,
$2.L_3(2).2$,
$2.L_3(4).2_3$,
$4_1.L_3(4).2_1$,
$4_1.L_3(4).2_2$,
$4_2.L_3(4).2_1$,
$4_2.L_3(4).2_3$,
$6.L_3(4).2_1$,
$6.L_3(4).2_2$,
$2.M_{22}.2$,
$4.M_{22}.2$,
$6.M_{22}.2$,
$12.M_{22}.2$,
$2.Suz.2$,
$6.Suz.2$,
$2.U_4(3).2_1$,
$2.U_4(3).2_2$,
$2.U_4(3).2_3$
are available.\cr}
\medbreak
The following changes are assigned to specific simple groups,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
C&A_5&:&Changed the fusion from $A_5 \times A_5$ to $A_5$.\cr
***&A_6&:&Corrected the table of $12.A_6.2_3$.\cr
C&&&Replaced the fusion from $2.M_{12}M4$ to $A_6.2^2$ by one to $M_{12}M4$.\cr
C&&&Changed the fusion from {\tt P1/G1/L1/V1/ext2} to $2^4:A_6$.\cr
NEW&&&The character table of the Sylow $2$-normalizer in $6.A_6$
is available.\cr
C&A_7&:&Changed the fusions from $A_6$ to $A_7$
and from $A_6.2_1$ to $A_7.2$.\cr
C&A_8&:&Changed the fusion from $A_6.2_1$ to $A_8$.\cr
C&A_{11}&:&Changed the fusion from {\tt A11Syl2}.\cr
NEW&A_{18}&:&The ordinary table of $A_{18}$ is availabe.\cr
NEW&A_{19}&:&The ordinary tables of $A_{19}$, $S_{19}$ are availabe.\cr
NEW&B&:&The character table of the Sylow $7$-normalizer in $2.B$
is available.\cr
***&Co_1&:&Changed the ordering of the maxes $7^2:(3 \times 2A_4)$ and
$5^2:2A_5$.\cr
NEW&&&The character tables of defect $3$- and $5$-group normalizers in
$Co_1$ and $2.Co_1$ are available.\cr
C&{}^3D_4(2)&:&Changed the fusion from $S_3 \times L_2(8)$.\cr
NEW&{}^2E_6(2)&:&The ordinary tables of
$3.{}^2E_6(2)$ \contrib{by Frank L\"ubeck},
$3.{}^2E_6(2).2$,
$6.{}^2E_6(2)$,
$6.{}^2E_6(2).2$,
$(2^2 \times 3).{}^2E_6(2)$,
$(2^2 \times 3).{}^2E_6(2).2$ are available.\cr
NEW&{}^2F_4(2)'&:&The character tables of the Sylow $2$-normalizers in
${}^2F_4(2)'$ and ${}^2F_4(2)'.2$ are available.\cr
C&Fi_{22}&:&Changed the fusions from $3.Fi_{22}M5$ to $3.Fi_{22}$ and
from $6.Fi_{22}M5$ to $6.Fi_{22}$.\cr
NEW&&&The character table of the Sylow $3$-normalizer in $3.Fi_{22}$
is available.\cr
***&F_{3+}&:&Changed the ordering of the maxes $A_6 \times L_2(8):3$ and
$7:6 \times A_7$.\cr
C&&&Changed the fusions from $Fi_{23}$ to $F_{3+}$ and from $3^7.O_7(3):2$
to $F_{3+}.2$.\cr
NEW&&&The character tables of the Sylow $5$- and $7$-normalizers in
$3.F_{3+}.2$,
and the table of the Sylow $5$-normalizer in $3.F_{3+}$ are available.\cr
NEW&He&:&The character tables of defect $3$-group normalizers in
$He.2$ are available.\cr
NEW&&&The character tables of normalizers of radical $p$-subgroups
are available.\cr
NEW&HN&:&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.\cr
NEW&&&The character tables of defect $3$-group normalizers in
$HN$ and $HN.2$ are available.\cr
C&HS&:&Changed the class fusion from $5:4 \times 2.A_5$.\cr
&&&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.\cr
NEW&&&The character tables of defect $2$-group normalizers in
$2.HS$ are available.\cr
C&J_2&:&Changed the fusion from $2.A_5 \times D_{10}$ to $2.J_2$,
and the fusion from $3.A_6.2^2$ to $J_2.2$.\cr
NEW&&&The character tables of the Sylow $2$- and $3$-normalizers in
$2.J_2$,
and the character table of the Sylow $5$-normalizer in $2.J_2.2$
are available.\cr
NEW&&&The character table of the primitive group $2^{12}.J_2$ is available.\cr
NEW&J_4&:&The character tables of defect $3$-group normalizers in
$J_4$ are available.\cr
***&L_2(8)&:&The name ${}^2G_2(3)$ was erroneously associated with
the character table of $L_2(8)$;
the correct table is that of $L_2(8).3$.
(This error has been communicated by Felix Noeske.)\cr
***&L_2(11)&:&Changed the ordering of the maxes $S_4$ and $D_{24}$ in
$L_2(11).2$.\cr
NEW&L_2(25)&:&The ordinary table of $4.L_2(25).2_3$ is available.\cr
NEW&L_2(49)&:&The ordinary table of $L_2(49).2^2$ is available.\cr
NEW&L_2(64)&:&The ordinary table of $L_2(64).6$ is available.\cr
NEW&L_2(81)&:&The ordinary tables of $L_2(81).2^2$ and $L_2(81).(2 \times 4)$
are available.\cr
C&L_3(2)&:&Changed the fusions from {\tt P13/G1/L2/V1/ext2},
{\tt P13/G1/L6/V1/ext2} to $L_3(2)$.\cr
C&L_3(4)&:&The table of $L_3(4).D_{12}$ was replaced by a table with
different ordering of classes and characters; note that the table is an
{\ATLAS} table but it had erroneously not been replaced earlier.
The previous table had the name {\tt psl(3,4):d12},
the new table has the name {\tt L3(4).D12}, the permutations of columns and
rows between the two tables are stored in the attribute {\tt CASInfo} of the
new table.\cr
C&&&Changed the fusion from $(2^2 \times 3).U_6(2)M3$ to $3.L_3(4)$.\cr
NEW&&&The ordinary tables of
$(2^2 \times 3).L_3(4).2_1$,
$(2^2 \times 3).L_3(4).2_2$,
$(2^2 \times 3).L_3(4).2_3$,
$(2^2 \times 3).L_3(4).3$,
$(2 \times 4).L_3(4)$,
$(2 \times 12).L_3(4)$,
$4^2.L_3(4)$,
$(4^2 \times 3).L_3(4)$,
$2.L_3(4).2^2$ (eight groups),
$4_1.L_3(4).2_3^*$,
$4_1.L_3(4).2^2$ (eight groups),
$4_2.L_3(4).2_2^*$,
$4_2.L_3(4).2^2$ (eight groups),
$2^2.L_3(4).2_1$,
$2^2.L_3(4).2^2$,
$2^2.L_3(4).6$,
$3.L_3(4).3.2_2$,
$6.L_3(4).2^2$ (eight groups)
are available.\cr
NEW&L_3(9)&:&The ordinary table of $L_3(9).2^2$ is available.\cr
NEW&L_4(4)&:&The ordinary table of $L_4(4).2^2$ is available.\cr
NEW&L_4(5)&:&The ordinary tables of $2.L_4(5)$, $4.L_4(5)$ are available.\cr
NEW&Ly&:&The character tables of defect $3$-group normalizers in
$Ly$ are available.\cr
***&M&:&The character table of the {\tt 7B} centralizer, with the identifier
{\tt 7\^{}1+4.2A7}, was wrong.\cr
NEW&&&The character tables of the Sylow $5$- and $7$-normalizers in $M$
are available.\cr
NEW&&&The character tables of defect $3$-group normalizers in
$M$ are available.\cr
C&M_{11}&:&Replaced the fusions from $2.M_{12}M2$ and $2.HSM9$ by fusions to
$M_{12}M2$ and $HSM9$, respectively.\cr
C&M_{12}&:&Changed the class fusions from $2 \times M_{11}$, $2.M_{12}M4$,
$2 \times 3^2.2.S_4$, $2.M_{12}M7$, $A_6.D_8$ to $2.M_{12}$.\cr
&&&The character table of the Sylow $2$-normalizer in $2.M_{12}$
is available.\cr
C&M_{22}&:&Changed the class fusion from $2 \times 3.A_7$ to $6.M_{22}$,
and the class fusions from $2.(2 \times 3.A_7)$,
$3 \times 4.M_{22}M5$, $3 \times 4.M_{22}M6$,
$3 \times 2.(2 \times L_2(11))$ to $12.M_{22}$.\cr
C&&&Replaced the fusion from $3.McLM3$ by one to $McLM3$.\cr
NEW&&&The character tables of defect $3$-group normalizers in $12.M_{22}$
and the Sylow $2$-normalizer in $4.M_{22}$
are available.\cr
NEW&&&The character table of a primitive group $2^{10}.M_{22}$
is available.\cr
NEW&M_{24}&:&The character tables of normalizers of radical $p$-subgroups
are available.\cr
C&McL&:&Changed the fusions from $3.3^{1+4}:2S_5$, $3 \times 2.A_8$,
$3.U_3(5)$ to $3.McL$,
and the fusion from $U_4(3)$ to $McL$.\cr
C&&&Replaced the fusion from $3.McLM10$ to $2^4:A7$ by one to $McLM10$.\cr
C&&&Changed the fusion from $3.3^4.3^2.Q_8$ to $3.3^{1+4}:2S_5$.\cr
NEW&&&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.\cr
NEW&O_8^-(3)&:&The ordinary tables of $2.O_8^-(3)$ \contrib{by Max Neunh\"offer},
$O_8^-(3).2_2$, $O_8^-(3).2_3$, $O_8^-(3).2^2$ are available.\cr
C&O_8^+(3)&:&Sorted rows and columns of the table of $O_8^+(3).S_4$
(in the old version, the trivial character was not the first one,
and this is not supported by the construction function).\cr
NEW&&&The ordinary tables of
$O_8^+(3).2^2_{122}$,
$2.O_8^+(3)$ \contrib{by Max Neunh\"offer},
$2^2.O_8^+(3)$,
$2^2.O_8^+(3).3$
are available.\cr
NEW&O_8^+(7)&:&The ordinary tables of $O_8^+(7)$, $2.O_8^+(7)$
are available \contrib{by Eamonn O'Brien}.\cr
NEW&O_9(3)&:&The ordinary table of $2.O_9(3)$ is available \contrib{by Max Neunh\"offer}.\cr
NEW&O_{10}^-(3)&:&The ordinary tables of $O_{10}^-(3)$ and $2.O_{10}^-(3)$
are available \contrib{by Eamonn O'Brien}.\cr
NEW&ON&:&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.\cr
NEW&&&The character tables of defect $2$-group normalizers in $ON$ and $3.ON$
are available.\cr
C&Ru&:&Changed the class fusion from $2.2^{3+8}:L_3(2)$ to $2.Ru$.\cr
&&&The character table of the Sylow $2$-normalizer in $2.Ru$
is available.\cr
C&S_4(4)&:&Changed the fusion from {\tt a5wc2} to $S_4(4)$.\cr
NEW&S_4(9)&:&The ordinary tables of $S_4(9)$, $S_4(9).2_1$, $S_4(9).2_2$,
$S_4(9).2_3$, $S_4(9).2^2$ are available.\cr
C&S_6(2)&:&Changed the fusions from $2.[2^6]:(S_3 \times S_3)$,
$2^6:L_3(2)$.\cr
NEW&S_6(4)&:&The ordinary table of $S_6(4).2$ is available.\cr
C&Suz&:&Changed the class fusion from $(A_6:2_2 \times A_5).2$ to $Suz.2$,
the class fusions from $2.SuzM4$, $(2 \times L_3(3)).2$,
$(A_6 \times 2.A_5).2$ to $2.Suz$,
the class fusions from $3 \times U_5(2)$, $3 \times 2^{1+6}_-.U_4(2)$,
$(3.A_6 \times A_5):2$ to $3.Suz$,
and the class fusion from $(3.A_6.2_2 \times A_5):2$ to $3.Suz.2$.\cr
C&&&Changed the class fusions from $3 \times 2.SuzM4$, $3 \times 2.J_2.2$,
$3 \times (2 \times L_3(3)).2$, $(3.A_6 \times 2.A_5).2$ to $6.Suz$.\cr
C&&&Changed maxes of $Suz$ and its central extensions, there is no need for
$SuzM15$ etc., take $L_3(3).2$ and suitable central extensions twice.\cr
NEW&Sz(8)&:&The character table of the primitive group $2^{12}.Sz(8)$
is available.\cr
C&U_3(5)&:&Replaced the fusion from $2.HSM3$ by one to $HSM3$.\cr
C&&&Changed the fusion from $3 \times 2S_5$ to $U_3(5).3$.\cr
C&U_3(8)&:&Changed the fusion from $3 \times L_2(8)$ to $U_3(8)$.\cr
C&U_4(2)&:&Changed the fusions from $A_6.2_1$ and $2.SuzM4$ to $U_4(2)$.\cr
C&U_4(3)&:&Replaced the fusions from $3^2.U_4(3).2_3'$ and $2.U_4(3).2_3'$
to $U_4(3).2_3$ by fusions to $U_4(3).2_3'$,
changed the fusions from $U_4(2)$ to $U_4(3)$ and from $U_4(2).2$ to
$U_4(3).2_1$,
changed the fusions from $L_3(4).2^2$ and $3^2.U_4(3).2^2_{133}$ to
$U_4(3).2^2_{133}$.\cr
NEW&&&The ordinary tables of \
$2.U_4(3).(2^2)_{122}$ \ (six groups),
$2.U_4(3).(2^2)_{133}$ \ (six groups),
$2.U_4(3).D_8$,
$6_1.U_4(3).2_2'$,
$3_1.U_4(3).2^2_{122}$,
$3^2.U_4(3)$,
$(3^2 \times 2).U_4(3)$,
$(3^2 \times 4).U_4(3)$,
$(3^2 \times 2).U_4(3).D_8$
are available.\cr
NEW&U_4(4)&:&The ordinary table of $U_4(4).4$ is available.\cr
NEW&U_4(5)&:&The ordinary tables of
$U_4(5).2_1$,
$U_4(5).2_2$,
$U_4(5).2_3$,
$U_4(5).2^2$
are available.\cr
NEW&U_5(3)&:&The ordinary table of $U_5(3)$ is available.\cr
NEW&U_5(4)&:&The ordinary tables of $U_5(4)$, $U_5(4).2$ are available.\cr
C&U_6(2)&:&Changed the fusions from $2.U_4(3).2_2$ to $2.U_6(2)$,
from $3_1.U_4(3).2_2$ and $(2^2 \times 3).U_6(2)$ to $6.U_6(2)$,
and from $6_1.U_4(3).2_2$ to $6.U_6(2)$.\cr
NEW&&&The ordinary tables of
$3.U_6(2).S_3$,
$(2^2 \times 3).U_6(2).2$,
$(2^2 \times 3).U_6(2).3$
are available.\cr
NEW&U_6(4)&:&The ordinary table of $U_6(4)$ is available \contrib{by Eamonn O'Brien}.\cr
NEW&U_7(2)&:&The ordinary table of $U_7(2)$ is available \contrib{by Frank L\"ubeck}.\cr}
\bigbreak
\
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.3 in December 2019}
\bigbreak
{\bf Brauer Tables}
The following changes are assigned to the simple group involved,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&A_6&:&The Brauer tables of $4.A_6.2_3$ are now available.\cr
***&F_4(2)&:&The 2nd power map in the $13$-modular table of
$2.(2 \times F_4(2)).2$ was wrong (as in the ordinary table).\cr
NEW&&&The $2$- and $3$-modular tables of $F_4(2)$ and $2.F_4(2)$
and of its 1st and 5th maximal subgroups are now available
(computed by Frank L\"ubeck and Gerhard Hiss).\cr
NEW&Fi_{23}&:&The $3$-modular Brauer table of $Fi_{23}$ is available
(computed by Lukas G\"orgen, Gerhard Hiss, and Klaus Lux).\cr
***&J_3&:&The $19$-modular tables of $J_3$, $J_3.2$, $3.J_3$, and $3.J_3.2$
were changed, due to a generality problem.\cr
NEW&L_3(4)&:&The Brauer tables of $3.L_3(4).3.2_3$ are now available.\cr
NEW&O_8^+(3)&:&The $3$-modular tables of $O_8^+(3)$, $2.O_8^+(3)$,
$2^2.O_8^+(3)$, $O_8^+(3).3$, and $2^2.O_8^+(3).3$ are now available
(computed by Frank L\"ubeck).\cr
NEW&O_8^-(3)&:&The $3$-modular table of $O_8^-(3)$, $2.O_8^-(3)$,
$O_8^-(3).2_1$, $O_8^-(3).2_2$, $O_8^-(3).2_3$, $O_8^-(3).2^2$
are now available
(computed by Frank L\"ubeck).\cr
NEW&O_{10}^+(2)&:&The $2$-modular table of $O_{10}^+(2)$ is now available
(computed by Frank L\"ubeck).\cr
NEW&O_{10}^-(2)&:&The $2$-modular table of $O_{10}^-(2)$ is now available
(computed by Frank L\"ubeck).\cr
NEW&ON&:&The $3$-modular Brauer table of $ON.2$ is available
(computed by Klaus Lux and Alexander Ryba).\cr
NEW&S_{10}(2)&:& The $2$-modular table of $S_{10}(2)$ is now available
(computed by Frank L\"ubeck).\cr
NEW&Suz&:&The $13$-modular Brauer tables of $2.Suz.2$ (and $6.Suz.2$)
are available (computed by Klaus Lux and Alexander Ryba).\cr
NEW&U_3(8)&:& The Brauer tables of $9.U_3(8).3_3$ are now available,
as well as the $7$-modular tables of $U_3(8).3^2$ and
$U_3(8).(S_3 \times 3)$.\cr
***&U_4(2)&:& The $2$-modular character table of
$3.(2 \times 2^{1+8}):(U_4(2):2 \times 2)$ was not correct,
due to an error in the {\sf GAP} 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 J\"urgen M\"uller for reporting the error.)\cr
NEW&U_4(3)&:& The modular character tables of $12_1.U_4(3).2_2'$ and
$12_2.U_4(3).2_3'$ are now available.\cr}
\medbreak
The following changes affect several Brauer tables.
\medbreak
\halign{\hfil{\bf #}&\quad \vtop{\parindent0pt\hsize=43em\strut#\strut}\cr
NEW&Brauer tables are now automatically available
for which all $p$-modular Brauer characters lift to characteristic zero;
this applies for example to all groups $L_2(q)$ if $p$ is odd.\cr
NEW&Brauer tables are now automatically available
for which the ordinary tables store a construction recipe
involving {\tt ConstructDirectProduct}, {\tt ConstructIsoclinic},
or {\tt ConstructMGA}
and for which the relevant Brauer tables of the ingredient tables are
available.\cr}
\bigbreak
{\bf Ordinary Tables}
The following bugfixes are not related to the character tables of
simple groups.
\medbreak
\halign{\hfil{\bf #}&\quad{\tt #}\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=32em\strut#\strut}\cr
***&2\^{}2.(2\^{}7.3\^{}2).s3&:&The table was renamed to
{\tt 2\^{}2.[2\^{}7*3\^{}2].S3},
since the old name gives a wrong structure description.\cr
***&5\^{}3:(4xA5).2&:&The table was renamed to {\tt 5\^{}3:(4xS5)},
since the old name gives a wrong structure description.\cr
***&NRS(M24,2\^{}(2+2+4)b)&:&The table was renamed to
{\tt NRS(M24,2\^{}(4+4))},
since the old name gives a wrong structure description.\cr}
\medbreak
The following changes affect several ordinary tables.
\medbreak
\halign{\hfil{\bf #}&\quad \vtop{\parindent0pt\hsize=43em\strut#\strut}\cr
C&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} to {\tt 6.Fi22.2},
{\tt (3\^{}2:8xA6).2} to {\tt Suz.2}, \
{\tt (3x2\^{}(1+6)\_-.U4(2)).2} \ to \ {\tt 3.Suz.2}, \
{\tt (A5xD10).2} to {\tt J2.2}, \
{\tt 12.M22N3} to {\tt 12.M22}, \
{\tt 12\_2.L3(4).2\_1} to {\tt 3.ON},
{\tt 19:18} to {\tt J3.2},
{\tt 2.HS.2N5} to {\tt 2.HS.2},
{\tt 2.M12N2} to {\tt 2.M12},
{\tt 2.[2\^{}9]:5:4} to {\tt 2F4(2)'.2},
{\tt 2A4xA5} to {\tt 2.J2},
{\tt 2\^{}(1+4)+:3\^{}2.2} to {\tt G2(3)},
{\tt 2\^{}(1+6)\_+:S5} to {\tt HS.2},
{\tt 3.(3xM10):2} to {\tt 3.J3.2},
{\tt 3.2\^{}(1+4)+:3\^{}2.2} to {\tt 3.G2(3)},
{\tt 3.3\^{}4.3\^{}2.Q8} to {\tt 3.McL},
{\tt 3\^{}2.(3x3\^{}(1+2)+):D8} to {\tt G2(3).2},
{\tt 3x2.J2.2N5} to {\tt 6.Suz},
{\tt 3x4.M22N2} to {\tt 12.M22},
{\tt 5\^{}2:(4xS3)} to {\tt J2.2},
{\tt 6.A6M3} to {\tt 6.A7},
{\tt 6.A6N2} to {\tt 6.A6},
{\tt 6.A6N2} to {\tt 6.A7},
{\tt 7:6xL3(2)} to {\tt He.2},
{\tt 7\^{}2:2.L2(7).2} to {\tt He.2},
{\tt Fi22N3} to {\tt Fi22}.\cr
NEW&The tables of all maximal subgroups are available for
${}^3D_4(2)$,
${}^3D_4(2).3$,
$2.A_5.2$,
$A_6.2_3$,
$2.Co_1$,
$2.Fi_{22}$,
$3.Fi_{22}$,
$G_2(4).2$,
$3.J_3$,
$L_2(8)$,
$L_2(8).3$,
$L_3(2).2$,
$2.L_3(2).2$,
$L_3(3).2$,
$3.M_{22}.2$,
$3.McL.2$,
$3.ON$.\cr
NEW&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.\cr
NEW&The {\tt CASInfo} value was added for the following tables:
$2.B$,
$2.Co_1$,
$2.F_4(2)$,
$2.HS$,
$2.J_2$,
$2.M_{12}$,
$2.Ru$,
$3.F_{3+}$,
$3.J_3$,
$3.McL$,
$3.ON$,
$6.Suz$, and
$12.M_{22}$.
At the time when the {\CAS} library got included in
{\GAP}'s character table library,
this information was apparently not saved.
However, at least the book ``Brauer Trees of Sporadic Groups'' refers
to the {\CAS} numbering of certain characters,
thus it is useful to make the values available.
Thanks to Gerhard Hiss for the {\CAS} format tables
which had been used in the computations for the abovementioned book.\cr}
\medbreak
The following changes are assigned to specific simple groups,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&^3D_4(3)&:&The table of ${}^3D_4(3)$ is now available.\cr
NEW&^3D_4(4)&:&The table of ${}^3D_4(4)$ is now available \contrib{by Eamonn O'Brien}.\cr
NEW&Co_1&:&The table of the largest solvable subgroup
(of the structure $2^{4+12}.(S_3 \times 3^{1+2}_+:D_8)$) is now available.\cr
***&E_6(2)&:&Corrected the table (irrationalities and power maps).\cr
NEW&F_{3+}&:&The tables of the largest solvable subgroups in $F_{3+}$ and
$F_{3+}.2$ (of the structures $3^{1+10}_+:2^{1+6}_-:3^{1+2}_+:2S_4$ and
$3^{1+10}_+:(2 \times 2^{1+6}_-:3^{1+2}_+:2S_4)$, respectively)
are now available.\cr
***&F_4(2)&:&Corrected the $2$nd power map in the tables of
$2.F_4(2).2$ (two isoclinic variants), $2 \times 2.F_4(2).2$,
and $2.(2 \times F_4(2)).2$.\cr
C&G_2(3)&:&The {\tt FusionToTom} map was replaced,
due to a generality problem.\cr
C&HS&:&The {\tt FusionToTom} map was replaced by one that is compatible with
the {\sf ATLAS} of Group Representations.\cr
NEW&L_3(4)&:&The table of the extension $3.L_3(4).3.2_3$ is now available.\cr
C&L_3(7)&:&The {\tt FusionToTom} map was replaced by one that is compatible
with the {\sf ATLAS} of Group Representations.\cr
NEW&O_{10}^+(3)&:&The table of $O_{10}^+(3)$ is now available.\cr
NEW&O_{12}^+(2)&:&The table of $O_{12}^+(2)$ is now available.\cr
NEW&O_{12}^-(2)&:&The table of $O_{12}^-(2)$ is now available.\cr
NEW&O_{12}^+(3)&:&The tables of $O_{12}^+(3)$ and $2_1.O_{12}^+(3)$ are
now available \contrib{by Eamonn O'Brien}.\cr
NEW&O_{12}^-(3)&:&The table of $O_{12}^-(3)$ is now available \contrib{by Eamonn O'Brien}.\cr
NEW&U_3(8)&:&The tables of $U_3(8).3^2$, $U_3(8).(S_3 \times 3)$,
and $9.U_3(8).3_3$ are now available.\cr
***&U_4(3)&:&The tables of the two bicyclic extensions
$12_1.U_4(3).2_2'$ and $12_2.U_4(3).2_3'$ of $U_4(3)$ are now available;
they had been missing, in spite of the claim that all {\sf ATLAS} tables
are available.\cr
***&U_4(5)&:&The class fusion from $U_4(5)$ to $U_4(5).2^2$ was corrected.\cr}
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.3.2 in March 2021}
\bigbreak
{\bf Brauer Tables}
The following changes are assigned to the simple group involved,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&U_3(8)&:&The $3$-modular Brauer table of $U_3(8).(S_3 \times 3)$
is now available.\cr}
\bigbreak
{\bf Ordinary Tables}
The following changes affect several ordinary tables.
\medbreak
\halign{\hfil{\bf #}&\quad \vtop{\parindent0pt\hsize=43em\strut#\strut}\cr
NEW&The tables of all maximal subgroups are available for $F_4(2)$.\cr}
\medbreak
The following changes are assigned to specific simple groups,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&L_2(49)&:&The tables of $4.L_2(49).2_3$ and $4.L_2(81).4_2$
are now available.\cr
NEW&L_2(81)&:&The table of $4.L_2(81).2_3$ is now available.\cr
NEW&M&:&The table of $3^{1+12}.(2 \times U_5(2).2)$ is now available,
which is a subgroup of the maximal subgroup $3^{1+12}.2.Suz.2$ of $M$
that plays a role in the verification of the table of $3^{1+12}:6.Suz.2$.\cr}
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.3.3 in January 2022}
\bigbreak
(No character tables were added or changed.)
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.3.4 in April 2022}
\bigbreak
(No character tables were added or changed.)
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.3.5 in February 2023}
\bigbreak
{\bf Brauer Tables}
Changes are assigned to the simple group involved,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&L_2(49)&:&The tables of $G$, $G.2_1$, $G.2_2$, $G.2_3$, $G.2^2$ mod $7$
are now known.\cr
NEW&&&Indicators of $G.2_1$, $G.2_2$, $G.2_3$ mod $2$ are now known.\cr
NEW&L_2(81)&:&The tables of $G$, $G.2_1$, $G.2_2$, $G.2_3$, $G.4_1$,
$G.4_2$, $G.2^2$, $G.(2 \times 4)$ mod $3$ are now known.\cr
NEW&&&Indicators of $G.2_1$, $G.2_2$, $G.2_3$, $G.4_1$, $G.4_2$ mod
$2$ are now known.\cr
***&L_3(8)&:&Some indicators of $G$, $G.2$ mod $2$ were corrected.\cr
NEW&R(27)&:&Indicators of $R(27)$ and $R(27).3$ mod $2$ are now known.\cr
NEW&L_6(2)&:&The tables of $G$, $G.2$ mod $2$ are now known.\cr
NEW&Suz&:&Indicators of $3.G$, $3.G.2$ mod $2$ are now stored.\cr
NEW&ON&:&Indicators of $3.ON$ mod $2$ are now known.\cr
NEW&O_8^-(3)&:&Indicators of $O_8^-(3)$ mod $2$ are now known.\cr
NEW&O_{10}^+(2)&:&Indicators of $O_{10}^+(2)$ mod $2$ are now known.\cr
NEW&O_{10}^-(2)&:&Indicators of $O_{10}^-(2)$ mod $2$ are now known.\cr
NEW&Co_2&:&Indicators of $Co_2$ mod $2$ are now known.\cr
NEW&Fi_{22}&:&Some new indicators of $G$, $G.2$ mod $2$ are now known.\cr
***&HN&:&The $11$-modular tables of $HN$, $HN.2$, and $(D_{10} \times HN).2$
were changed, due to a generality problem.\cr
NEW&&&Some indicators of $HN$ and $HN.2$ mod $2$ have been computed.\cr
NEW&Fi_{23}&:&Some new indicators of $G$ mod $2$ are now known.\cr}
\bigbreak
{\bf Ordinary Tables}
Changes are assigned to the simple group involved,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&L_2(49)&:&The table of the maximal subgroup $7^2:24$ of $G$ was added.\cr
***&M_{12}&:&Renamed $D_8.(S_4 \times 2)$ to $2^3.(S_4 \times 2)$,
the old name does not fit to the structure of the subgroup.\cr
NEW&L_2(81)&:&The table of the maximal subgroup $3^4:40$ of $G$ was added.\cr
C&J_3&:&Changed the fusions from $J_3M3$
(in order to achieve compatibility with Brauer tables)\cr
C&O_7(3)&:&Changed the fusions from $5:4 \times S_4$, $O_7(3)M5$
(in order to achieve compatibility with Brauer tables)\cr
NEW&R(27)&:&The table of the maximal subgroup $3^{3+6}:26$
of $R(27)$ was added.\cr
C&O_8^+(3)&:&Changed the fusions from $O_7(3)$ (all six classes,
in order to achieve compatibility with Brauer tables)\cr
C&O_8^-(3)&:&Changed the fusions from $3^6:2U_4(3).2_1$, $L_2(81).2_1$,
$O_7(3).2$ (in order to achieve compatibility with Brauer tables)\cr
C&O_{10}^+(2)&:&Changed the fusions from $2^{10}:L_5(2)$, $S_8(2)$
(in order to achieve compatibility with Brauer tables)\cr
NEW&O_{10}^-(2)&:&The table of the maximal subgroup $(3 \times O_8^+(2)):2$
of $O_{10}^-(2)$ was added.\cr
C&&&Changed the fusion from $2^8:O_8^-(2)$
(in order to achieve compatibility with Brauer tables)\cr
C&F_4(2)&:&Changed the fusion from $S_8(2)M4$
(two classes, in order to achieve compatibility with Brauer tables)\cr}
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.3.6 in May 2023}
\bigbreak
(No character tables were added or changed.)
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.3.7 in December 2023}
\bigbreak
{\bf Ordinary Tables}
Changes are assigned to the simple group involved,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
C&L_6(2)&:&Changed the fusions from $3.L_3(4).3.2_2$ and $2^5:L_5(2)$
(in order to achieve compatibility with Brauer tables)\cr
C&Fi_{23}&:&Changed the fusions from $3^6:L_4(3):2_2$ and $S_3 \times O_7(3)$
(in order to achieve compatibility with Brauer tables)\cr
NEW&B&:&The table of the maximal subgroup $(2 \times O_8^+(3)).S_4$ of $2.G$
was added.\cr
NEW&M&:&The table of the maximal subgroup $2^{10+16}.O_{10}^+(2)$ of $G$
was added \contrib{by Alexander Hulpke}.\cr
NEW&&:&The tables of the maximal subgroups
$2^{2+11+22}.(M_{24} \times S_3)$, $2^{[39]}.(L_3(2) \times 3.S_6)$
were added.\cr
NEW&&:&The tables of the maximal subgroups
$3^8.O_8^-(3).2_3$, $(3^2:2 \times O_8^+(3)).S_4$,
$3^{2+5+10}.(M_{11} \times 2S_4)$, $3^{3+2+6+6}:(L_3(3) \times SD_{16})$
of $G$ were added \contrib{by Tim Burness}.\cr
NEW&&&The class fusions from the maximal subgroups $L_2(13).2$, $L_2(29).2$,
and $U_3(4).4$ of $G$ were added.\cr
C&&&The relative names of some maximal subgroups of $G$ were changed,
due to the now completed classification of maximal subgroup of $G$:
$L_2(71)$ is {\tt MM38} not {\tt MM37},
$L_2(59)$ is {\tt MM39} not {\tt MM38},
$11^2:(5 \times 2.A_5)$ is {\tt MM40} not {\tt MM39},
$L_2(41)$ is {\tt MM41} not {\tt MM40},
$L_2(29).2$ is {\tt MM42} not {\tt MM41},
$7^2:2L_2(7)$ is {\tt MM43} not {\tt MM42},
$L_2(19).2$ is {\tt MM44} not {\tt MM43},
$41:40$ is {\tt MM46} not {\tt MM44}.\cr}
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.3.8 in March 2024}
\bigbreak
{\bf Ordinary Tables}
Changes are assigned to the simple group involved,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&M&:&The class fusions from the maximal subgroups
$(L_2(11) \times L_2(11)):4$, $11^2:(5 \times 2.A_5)$, $7^2:2L_2(7)$, and
$L_2(19).2$ of $G$ were added.\cr}
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.3.9 in March 2024}
\bigbreak
(No character tables were added or changed.)
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.3.10 in May 2025}
\bigbreak
{\bf Ordinary Tables}
The following changes affect several ordinary tables.
\medbreak
\halign{\hfil{\bf #}&\quad \vtop{\parindent0pt\hsize=43em\strut#\strut}\cr
NEW&The tables of all maximal subgroups are available for $F_4(2).2$ and $M$. \cr
***&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 $L_2(59)$ 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.\cr
NEW&Isoclinic variants of the following {\ATLAS} character tables
are now available.
$2.A_6.2_2$,
$6.A_6.2_2$,
$2.L_2(11).2$,
$2.L_2(13).2$,
$2.L_2(17).2$,
$2.L_2(25).2_1$,
$2.L_2(27).2$,
$2.L_2(27).6$,
$2.L_2(29).2$,
$2.L_2(31).2$, \phantom{xxxxx}
$2.L_2(49).2_1$,
$2.L_2(81).2_2$,
$3.L_3(4).3$ (two variants),
$3.L_3(4).6$ (two variants),
$12_1.L_3(4).2_1$, \phantom{xxxxx}
$12_2.L_3(4).2_1$,
$12_2.L_3(4).2_3$,
$12_1.L_3(4).2_2$,
$3.L_3(7).3$ (two variants),
$2.L_4(3).2_1$,
$2.L_4(3).2_2$,
$2.L_4(3).2_3$,
$6.O_7(3).2$,
$2.O_8^+(2).2$,
$2.S_4(5).2$,
$2.S_6(3).2$,
$3.U_3(5).3$ (two variants),
$3.U_3(7).3$ (two variants), \phantom{xxxxx}
$3.U_3(8).3_2$ (two variants),
$3.U_3(11).3$ (two variants),
$2.U_4(2).2$,
$4.U_4(3).2_2$,
$4.U_4(3).2_3$,
$6_1.U_4(3).2_1$,
$6_1.U_4(3).2_2$,
$6_1.U_4(3).2_2'$,
$6_2.U_4(3).2_1$,
$6_2.U_4(3).2_3$,
$12_1.U_4(3).2_2$,
$12_1.U_4(3).2_2'$,
$12_2.U_4(3).2_3$, \phantom{xxxxx}
$12_2.U_4(3).2_3'$,
$2.U_6(2).2$,
$3.U_6(2).3$ (two variants),
$6.U_6(2).2$.
Also the corresponding Brauer tables and factor fusions to suitable
factor groups were added.\cr}
\medbreak
The following changes are assigned to specific simple groups,
and shown in alphabetical order.
\medbreak
\halign{\hfil{\bf #}&\quad$#$\hfil&\quad#\hfil$\;\>$& \vtop{\parindent0pt\hsize=38em\strut#\strut}\cr
NEW&{}^2E_6(2)&:&The character tables of the maximal subgroups
$(L_3(2) \times L_3(4)).2$ of $G$
and $(L_3(2) \times L_3(4).2_2).2$, ${}^2E_6(2).2N3C$ of $G.2$ were added,
as well as class fusions from the maximal subgroups $Fi_{22}.2$, $O_7(3).2$,
and $O_{10}^-(2).2$ to $G.2$.\cr
C&A_6&:&The character parameters of the ordinary table of $A_6.2_1$
were made consistent with the character parameters of the Brauer tables,
by applying the permutation induced by the outer automorphism of the group.\cr
NEW&F_4(3)&:&The table of the simple group was added \contrib{by Eamonn O'Brien}.\cr
NEW&G_2(7)&:&The table of the simple group was added.\cr
NEW&M&:&The character table of the maximal subgroup
$2^{5+10+20}.(S_3 \times L_5(2))$ of the Monster group was added \contrib{by Anthony Pisani}.\cr
NEW&S_{12}(2)&:&The table of the maximal subgroup $S_4(8).3$ was added.\cr}
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\bf Release of CTblLib~1.3.11 in May 2025}
\bigbreak
The only change was that the ordering of rows and columns of the
table of $S_4(8).3$ (which had been added in version~1.3.10)
was adjusted such that the function {\tt AtlasClassNames}
(from the {\GAP} package {\tt AtlasRep}) does not run into an error
when called with this table.
\bigbreak
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %{\bf Since the Release of CTblLib~1.3.11}
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 ist noch experimentell.