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<html><head><title>cryst : a GAP 4 package - Index </title></head>
<body text="#000000" bgcolor="#ffffff">
<h1><font face="Gill Sans,Helvetica,Arial">cryst</font> : a <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 package - Index </h1>
<p>
<a href="#idx_">_</A>
<a href="#idxA">A</A>
<a href="#idxC">C</A>
<a href="#idxI">I</A>
<a href="#idxM">M</A>
<a href="#idxN">N</A>
<a href="#idxP">P</A>
<a href="#idxS">S</A>
<a href="#idxT">T</A>
<a href="#idxW">W</A>
<H2><A NAME="idx_">_</A></H2>
<dl>
<dt>\^, for an noexpand`AffineCrystGroup' <a href="CHAP002.htm#I4">2.4</a> 
</dl><p>
<H2><A NAME="idxA">A</A></H2>
<dl>
<dt>AddTranslationBasis <a href="CHAP002.htm#SSEC003.3">2.3.3</a> 
<dt>Affine crystallographic groups <a href="CHAP002.htm">2.0</a> 
<dt>AffineCrystGroup <a href="CHAP002.htm#SSEC001.7">2.1.7</a> 
<dt>AffineCrystGroupOfPointGroup <a href="CHAP002.htm#SSEC002.3">2.2.3</a> 
<dt>AffineCrystGroupOnLeft <a href="CHAP002.htm#SSEC001.4">2.1.4</a> 
<dt>AffineCrystGroupOnRight <a href="CHAP002.htm#SSEC001.1">2.1.1</a> 
<dt>AffineInequivalentSubgroups <a href="CHAP002.htm#SSEC008.5">2.8.5</a> 
<dt>AffineNormalizer <a href="CHAP002.htm#SSEC008.4">2.8.4</a> 
<dt>AsAffineCrystGroup <a href="CHAP002.htm#SSEC001.8">2.1.8</a> 
<dt>AsAffineCrystGroupOnLeft <a href="CHAP002.htm#SSEC001.5">2.1.5</a> 
<dt>AsAffineCrystGroupOnRight <a href="CHAP002.htm#SSEC001.2">2.1.2</a> 
</dl><p>
<H2><A NAME="idxC">C</A></H2>
<dl>
<dt>CentralizerPointGroupInGLnZ <a href="CHAP002.htm#SSEC008.2">2.8.2</a> 
<dt>CheckTranslationBasis <a href="CHAP002.htm#SSEC003.4">2.3.4</a> 
<dt>Color groups <a href="CHAP002.htm#SECT009">2.9</a> 
<dt>ColorCosetList <a href="CHAP002.htm#SSEC009.4">2.9.4</a> 
<dt>Colored AffineCrystGroups <a href="CHAP002.htm#SECT010">2.10</a> 
<dt>ColorGroup <a href="CHAP002.htm#SSEC009.1">2.9.1</a> 
<dt>ColorHomomorphism <a href="CHAP002.htm#SSEC009.7">2.9.7</a> 
<dt>colorings, inequivalent, for space group <a href="CHAP002.htm#I11">2.10</a> 
<dt>ColorOfElement <a href="CHAP002.htm#SSEC009.5">2.9.5</a> 
<dt>ColorPermGroup <a href="CHAP002.htm#SSEC009.6">2.9.6</a> 
<dt>ColorSubgroup <a href="CHAP002.htm#SSEC009.3">2.9.3</a> 
<dt>ConjugacyClassesMaximalSubgroups, for an `AffineCrystGroup' <a href="CHAP002.htm#SSEC005.2">2.5.2</a> 
<dt>ConjugatorSpaceGroups <a href="CHAP002.htm#SSEC008.6">2.8.6</a> 
<dt>Construction <a href="CHAP002.htm#SECT001">2.1</a> 
<dt>construction, of an AffineCrystGroup <a href="CHAP002.htm#I0">2.1</a> 
<dt>cryst <a href="CHAP001.htm#I0">1.0</a> 
</dl><p>
<H2><A NAME="idxI">I</A></H2>
<dl>
<dt>InternalBasis <a href="CHAP002.htm#SSEC003.2">2.3.2</a> 
<dt>International Tables <a href="CHAP002.htm#SECT011">2.11</a> 
<dt>Introduction <a href="CHAP001.htm">1.0</a> 
<dt>IsAffineCrystGroup <a href="CHAP002.htm#SSEC001.9">2.1.9</a> 
<dt>IsAffineCrystGroupOnLeft <a href="CHAP002.htm#SSEC001.6">2.1.6</a> 
<dt>IsAffineCrystGroupOnRight <a href="CHAP002.htm#SSEC001.3">2.1.3</a> 
<dt>IsColorGroup <a href="CHAP002.htm#SSEC009.2">2.9.2</a> 
<dt>IsomorphismFpGroup, for a `PointGroup' <a href="CHAP002.htm#SSEC004.2">2.4.2</a> 
<dt>IsomorphismFpGroup, for an `AffineCrystGroup' <a href="CHAP002.htm#SSEC004.3">2.4.3</a> 
<dt>IsomorphismPcpGroup, for a `PointGroup' <a href="CHAP002.htm#SSEC004.4">2.4.4</a> 
<dt>IsomorphismPcpGroup, for an `AffineCrystGroup' <a href="CHAP002.htm#SSEC004.5">2.4.5</a> 
<dt>IsPointGroup <a href="CHAP002.htm#SSEC002.2">2.2.2</a> 
<dt>IsPointHomomorphism <a href="CHAP002.htm#SSEC002.5">2.2.5</a> 
<dt>IsSpaceGroup <a href="CHAP002.htm#SSEC003.5">2.3.5</a> 
<dt>IsStandardAffineCrystGroup <a href="CHAP002.htm#SSEC003.6">2.3.6</a> 
<dt>IsStandardSpaceGroup <a href="CHAP002.htm#SSEC003.7">2.3.7</a> 
<dt>IsSymmorphicSpaceGroup <a href="CHAP002.htm#SSEC003.9">2.3.9</a> 
<dt>IsWyckoffPosition <a href="CHAP002.htm#SSEC007.3">2.7.3</a> 
</dl><p>
<H2><A NAME="idxM">M</A></H2>
<dl>
<dt>Maximal subgroups <a href="CHAP002.htm#SECT005">2.5</a> 
<dt>maximal subgroups, for an AffineCrystGroups <a href="CHAP002.htm#I6">2.5</a> 
<dt>MaximalSubgroupClassReps, for an `AffineCrystGroup' <a href="CHAP002.htm#SSEC005.1">2.5.1</a> 
<dt>methods, for an AffineCrystGroup <a href="CHAP002.htm#I3">2.4</a> 
</dl><p>
<H2><A NAME="idxN">N</A></H2>
<dl>
<dt>normalizer, in affine group <a href="CHAP002.htm#I10">2.8</a> 
<dt>normalizer, in translation group <a href="CHAP002.htm#I9">2.8</a> 
<dt>normalizer, of an AffineCrystGroup <a href="CHAP002.htm#I8">2.8</a> 
<dt>NormalizerPointGroupInGLnZ <a href="CHAP002.htm#SSEC008.1">2.8.1</a> 
<dt>Normalizers <a href="CHAP002.htm#SECT008">2.8</a> 
</dl><p>
<H2><A NAME="idxP">P</A></H2>
<dl>
<dt>Point group <a href="CHAP002.htm#SECT002">2.2</a> 
<dt>point group, of an AffineCrystGroup <a href="CHAP002.htm#I1">2.2</a> 
<dt>PointGroup <a href="CHAP002.htm#SSEC002.1">2.2.1</a> 
<dt>PointGroup, for a colored `AffineCrystGroup' <a href="CHAP002.htm#SSEC010.1">2.10.1</a> 
<dt>PointHomomorphism <a href="CHAP002.htm#SSEC002.4">2.2.4</a> 
<dt>power, for an `AffineCrystGroup' <a href="CHAP002.htm#SSEC004.1">2.4.1</a> 
</dl><p>
<H2><A NAME="idxS">S</A></H2>
<dl>
<dt>SetCrystGroupDefaultAction <a href="CHAP002.htm#">2.0</a> 
<dt>Space groups with a given point group <a href="CHAP002.htm#SECT006">2.6</a> 
<dt>space groups, for given point group <a href="CHAP002.htm#I7">2.6</a> 
<dt>SpaceGroupIT <a href="CHAP002.htm#SSEC011.4">2.11.4</a> 
<dt>SpaceGroupOnLeftIT <a href="CHAP002.htm#SSEC011.3">2.11.3</a> 
<dt>SpaceGroupOnRightIT <a href="CHAP002.htm#SSEC011.2">2.11.2</a> 
<dt>SpaceGroupsByPointGroup <a href="CHAP002.htm#SSEC006.5">2.6.5</a> 
<dt>SpaceGroupsByPointGroupOnLeft <a href="CHAP002.htm#SSEC006.3">2.6.3</a> 
<dt>SpaceGroupsByPointGroupOnRight <a href="CHAP002.htm#SSEC006.1">2.6.1</a> 
<dt>SpaceGroupSettingsIT <a href="CHAP002.htm#SSEC011.1">2.11.1</a> 
<dt>SpaceGroupTypesByPointGroupOnLeft <a href="CHAP002.htm#SSEC006.6">2.6.6</a> 
<dt>SpaceGroupTypesByPointGroupOnRight <a href="CHAP002.htm#SSEC006.2">2.6.2</a> 
<dt>Special methods <a href="CHAP002.htm#SECT004">2.4</a> 
<dt>StandardAffineCrystGroup <a href="CHAP002.htm#SSEC003.8">2.3.8</a> 
<dt>Subgroup, for color groups <a href="CHAP002.htm#SSEC009.8">2.9.8</a> 
<dt>subgroups, maximal, for an AffineCrystGroup <a href="CHAP002.htm#I5">2.5</a> 
</dl><p>
<H2><A NAME="idxT">T</A></H2>
<dl>
<dt>Translation lattice <a href="CHAP002.htm#SECT003">2.3</a> 
<dt>translation lattice, of an AffineCrystGroup <a href="CHAP002.htm#I2">2.3</a> 
<dt>TranslationBasis <a href="CHAP002.htm#SSEC003.1">2.3.1</a> 
<dt>TranslationNormalizer <a href="CHAP002.htm#SSEC008.3">2.8.3</a> 
<dt>TransposedMatrixGroup <a href="CHAP002.htm#SSEC001.10">2.1.10</a> 
</dl><p>
<H2><A NAME="idxW">W</A></H2>
<dl>
<dt>Wyckoff positions <a href="CHAP002.htm#SECT007">2.7</a> 
<dt>WyckoffBasis <a href="CHAP002.htm#SSEC007.4">2.7.4</a> 
<dt>WyckoffGraph <a href="CHAP002.htm#SSEC007.9">2.7.9</a> 
<dt>WyckoffOrbit <a href="CHAP002.htm#SSEC007.8">2.7.8</a> 
<dt>WyckoffPositions <a href="CHAP002.htm#SSEC007.1">2.7.1</a> 
<dt>WyckoffPositionsByStabilizer <a href="CHAP002.htm#SSEC007.2">2.7.2</a> 
<dt>WyckoffSpaceGroup <a href="CHAP002.htm#SSEC007.6">2.7.6</a> 
<dt>WyckoffStabilizer <a href="CHAP002.htm#SSEC007.7">2.7.7</a> 
<dt>WyckoffTranslation <a href="CHAP002.htm#SSEC007.5">2.7.5</a> 
</dl><p>
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<P>
<address>cryst manual<br>September 2025
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