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  <title>AboutHap</title>
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<body
style="color: rgb(0, 0, 153); background-color: rgb(204, 255, 255);"
alink="#000066" link="#000066" vlink="#000066">
<br>
<table
style="text-align: left; margin-left: auto; margin-right: auto; color: rgb(0, 0, 102);"
border="0" cellpadding="20" cellspacing="10">
  <tbody>
    <tr align="center">
      <th style="vertical-align: top;">
      <table style="width: 100%; text-align: left;" cellpadding="2"
cellspacing="2">
        <tbody>
          <tr>
            <td style="vertical-align: top;"><a
href="../aboutPeriodic.html"><small style="color: rgb(0, 0, 102);">Previous</small></a><br>
            </td>
            <td
style="text-align: center; vertical-align: top; color: rgb(0, 0, 102);"><big><span
style="font-weight: bold;">About HAP: Table of presentations and <br>
modules of identities for small groups<br>
            </span></big></td>
            <td style="text-align: right; vertical-align: top;"><a
href="../aboutAspherical.html"><small style="color: rgb(0, 0, 102);">next</small></a><br>
            </td>
          </tr>
        </tbody>
      </table>
      <big><span style="font-weight: bold;"></span></big><br>
      </th>
    </tr>
    <tr>
      <td
style="vertical-align: top; background-color: rgb(255, 255, 255); text-align: left;"><big><big
style="font-weight: bold;"> How to use the table.</big></big>
      <p>The main table contains brief information for each group.
One
can also get detailed information about sets <u>s</u> and <u>v</u>
(see <a href="summary.html">Summary</a>) for any group in the table by
clicking the corresponding cell in the table. </p>
      <big><big style="font-weight: bold;"><br>
Example.</big></big><br>
      <br>
      <big> </big>
      <table border="1">
        <tbody>
          <tr>
            <th style="color: rgb(0, 0, 0);" colspan="11">No. </th>
            <th style="color: rgb(0, 0, 0);">Name </th>
            <th style="color: rgb(0, 0, 0);">|G| </th>
            <th style="color: rgb(0, 0, 0);">Defining relators </th>
            <th style="color: rgb(0, 0, 0);"> |<u>s</u>| </th>
            <th style="color: rgb(0, 0, 0);"> <u>s</u> </th>
            <th style="color: rgb(0, 0, 0);"> <u>v</u> </th>
            <th style="color: rgb(0, 0, 0);">dim<sub><img
src="tiny_z.uc.gif"></sub><img src="pi.lc.gif"> </th>
            <th style="color: rgb(0, 0, 0);">H<sub>1</sub>(G) </th>
            <th style="color: rgb(0, 0, 0);">H<sub>2</sub>(G) </th>
            <th><span style="color: rgb(0, 0, 0);">H</span><sub
style="color: rgb(0, 0, 0);">3</sub><span style="color: rgb(0, 0, 0);">(G)</span>
            </th>
          </tr>
          <tr>
            <td style="color: rgb(0, 0, 0);" colspan="11" align="center">
            <b>1 </b> </td>
            <td style="color: rgb(0, 0, 0);" align="center">D3 </td>
            <td style="color: rgb(0, 0, 0);" align="center">6 </td>
            <td style="color: rgb(0, 0, 0);" align="center"> x<sup>2</sup>,
y<sup>3</sup>, (xy)<sup>2</sup> </td>
            <td style="color: rgb(0, 0, 0);" align="center">3 </td>
            <td style="color: rgb(0, 0, 0);" align="center"><a
href="G1_s.html"><img alt="" src="dot_blue.gif"
style="border: 0px solid ; width: 20px; height: 16px;"></a> </td>
            <td style="color: rgb(0, 0, 0);" align="center"><a
href="G1_v.html"><img alt="" src="dot_blue.gif"
style="border: 0px solid ; width: 20px; height: 16px;"></a> </td>
            <td style="color: rgb(0, 0, 0);" align="center"> 11 </td>
            <td style="color: rgb(0, 0, 0);" align="center"><b>Z</b><sub>2</sub>
            </td>
            <td style="color: rgb(0, 0, 0);" align="center">0 </td>
            <td style="color: rgb(0, 0, 0);" align="center"><b>Z</b><sub>6</sub>
            </td>
          </tr>
        </tbody>
      </table>
      <big> </big><img src="empty10.gif"> <img src="empty50.gif"><img
src="empty50.gif"><img src="empty50.gif"><img src="empty50.gif"> <img
src="empty25.gif"><img src="empty20.gif">    <img
style="width: 20px; height: 33px;" src="hpoint_up.gif"><br>
      <small><i> <img src="empty100.gif"><img src="empty100.gif">Click
here to get
a set <u>s</u> <br>
      <img src="empty50.gif"><img src="empty50.gif"> <img
src="empty50.gif"><img src="empty10.gif">of identities
between relators for D3</i></small>
      <p><a href="table.html">The main table</a></p>
      </td>
    </tr>
    <tr>
      <td style="vertical-align: top;">
      <table
style="margin-left: auto; margin-right: auto; width: 100%; text-align: left;"
border="0" cellpadding="2" cellspacing="2">
        <tbody>
          <tr>
            <td style="vertical-align: top;"><a
style="color: rgb(0, 0, 102);" href="../aboutPeriodic.html">Previous
Page</a><br>
            </td>
            <td style="text-align: center; vertical-align: top;"><a
href="../aboutContents.html"><span style="color: rgb(0, 0, 102);">Contents</span></a><br>
            </td>
            <td style="text-align: right; vertical-align: top;"><a
href="../aboutAspherical.html"><span style="color: rgb(0, 0, 102);">Next
page</span><br>
            </a> </td>
          </tr>
        </tbody>
      </table>
      <a href="../aboutTopology.html"><br>
      </a> </td>
    </tr>
  </tbody>
</table>
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