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< <span class="<div class="func"><table class="func" width="100%"><tr><td="

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<h4>5.7 <span class="Heading">Character Tablesjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

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entralExtension/h5>

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<Lethetable java.lang.StringIndexOutOfBoundsException: Range [39, 38) out of bounds for length 533


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<ss="func"ConstructMGA</code> is used

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<java.lang.StringIndexOutOfBoundsException: Index 2 out of bounds for length 0

<><table class="width="100"<tr><td =">codeclassp>et<var class="Arg">blmGavar>bethe ordinary character table of a group of structure <span class="SimpleMath">m.G.a</span> where the factor group of prime order <span
<p>Let <var class="rg">tblmGa/var> be the ordinarycharacter table of a group of structure <span class="SimpleMath">m.G.a</span> where the factor group of prime order <span class="SimpleMath">a</span> acts nontrivially on the normal subgroupp>Let  ="rg></> the java.lang.StringIndexOutOfBoundsException: Index 49 out of bounds for length 0

code" ""><table ="func"width="100%"><tr><td class="tdleft"><code class="func">‣ ConstructGS3</code>( <var class="Arg">tbls3</var>, <var class="Arg">tbl2</var>, <var class="Arg">tbl3</var>, <var class="Arg">ind2java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<p><a idjava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<h5>java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#an style='color: green'>8227; <p>Let <var class="Arg">tbl</var> be the character table of a group of type <span class="SimpleMath">2  outer orderspan=java.lang.StringIndexOutOfBoundsException: Index 176 out of bounds for length 0
class>java.lang.StringIndexOutOfBoundsException: Range [9, 8) out of bounds for length 879
<p>dd><p>the valueclassA

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<div="func"><ableclass"func" width="100<>a =X7EF9996082140544"nameXEF9996082140544<a<

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<dt><strong class="Mark"><code 
<dd><p>a record being/d

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<dt><strong class="Mark"><code class="code">info</code></strong></dtp>Thejava.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
<dd> java.lang.StringIndexOutOfBoundsException: Range [30, 28) out of bounds for length 181

</<p><a id="846B30845D75E1"nameX84F6BB30845D75E1Arg"factors</ar> ofadmissible character table names, and then constructs the java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
>
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< "unc>table java.lang.StringIndexOutOfBoundsException: Range [31, 30) out of bounds for length 335
<>Thedirectproduct   tables describedby < class"">factors/ar  table is using

<p>The <code/l

<p>If the optional p><a id="X7D3F0AC2825C8CA1""/a</java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<p><var 

<p><a idp library <var""tbl/var>  thejava.lang.StringIndexOutOfBoundsException: Range [0, 76) out of bounds for length 0

<java.lang.StringIndexOutOfBoundsException: Range [5, 3) out of bounds for length 38

<div class<> wreath product of the library character table with java.lang.StringIndexOutOfBoundsException: Index 59 out of bounds for length 0
<>java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<p>If the optional java.lang.StringIndexOutOfBoundsException: Index 22 out of bounds for length 0

<<>he  attribute     <var java.lang.StringIndexOutOfBoundsException: Index 61 out of bounds for length 0

<h5>java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<div class="func"><table class="func"p>< id="FE1FF82790290" name="X803FE1FF82790290<>  <div =="> =func" ="100%>tr> "
<>The java.lang.StringIndexOutOfBoundsException: Index 9 out of bounds for length 0

 general,he totheclasses of java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<p><a id="ConstructSubdirect/5>< =73java.lang.StringIndexOutOfBoundsException: Range [28, 27) out of bounds for length 62

<h5>5.8-9 ConstructWreathSymmetric

<="func"><evar=A"<var      java.lang.StringIndexOutOfBoundsException: Range [107, 106) out of bounds for length 289
<p>p class"foot>generated by <a <p>Note that in general, the restric to the classes of a normal subgroup is not sufficient for describing the irreducible characters of this normal subgroup.</p>

<p>If<5>58-9 ConstructWreathSymmetric</5>

<p><<iv =func><tableclass=""="00%"><r<td=tdleft

<h5>5.810 ConstructIsoclinic<h5>

<divclass"unc"tableclass="func" 
<constructsfirst the direct product of library

<the argument <var class="Arg">nsg</var> is present and

<p>In both h55.8-10 

<p><a id="X7D3F0AC2825C8CA1"

<h5>5.</h5>

<p<his  can    java.lang.StringIndexOutOfBoundsException: Range [66, 65) out of bounds for length 517
<pp>If the argument <var class="Arg">nsg</var> is present and a record or a list then <code class="func">CharacterTableIsoclinic</code> (<a href="..

<g">tbl<var> and the library table   name <var class="></var are equivalent Withthe  generalfunction < class=func"ConstructAdjusted/code>(a href=.html#85"> "">.812</span</)   derive tables java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0

<p>The two permutations are optional. If they are missing then the lists of irreducible characters and the power maps of the two character tables coincide. However, different class fusions may be stored on the two tables. This is used for example in situations where a group has several classes of isomorphic maximal subgroups whose 

<p><a id="X85FE8954830F85A0" name="java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 0

>5 java.lang.StringIndexOutOfBoundsException: Range [32, 28) out of bounds for length 33

<div class=
<

<p>This construction can be used to derive a character<>The definingattribute ofthelibrarytable <var ="tbl/>       described   =Arg></> for those    not   var "">pairsvar– the  values of the library table with the name <var class="Arg">libnam</var>, whose classes and characters have been permuted by the optional permutations <var class="Arg">permclasses</var> and <var class="Arg">permchars</var>, respectively.</p>

<p>If no replacement of components is needed then one should better use <code class="func">ConstructPermuted</code> (<a href="chap5.html#X7D3F0AC2825C8CA1"><span class="RefLink">5.8-11</span></a>), because the system can then exploit the fact that the two tables are permutation equivalent.</p>

<p><a id="X803FE1FF82790290" name="X803FE1FF82790290"></a></p>

<h5>5.8-13 ConstructFactor</h5>

<div class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#an style='color: green'>8227; ConstructFactor</code>( <var class="Arg">tbl</var>, <var class="Arg">libnam</var>, <var class="Arg">kernel</var> )</td><td class="tdright">( function )</td></tr></table></div>
<p>The library table <var class="Arg">tbl</var> is completed with help of the library table with name <var class="Arg">libnam</var>, by factoring out the classes in the list <var class="Arg">kernel</var>.</p>


<div class="chlinkprevnextbot"> <a href="chap0.html">[p><a id="X803FE1FF82790290" name="X803FE1FF82790290"></a></p


<div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a>  <a href="chap1.html">1</<iv class="func"><table class="func" width="100%"><tr><td class="tdleft"><code class="func">&#8227; ConstructFactor</code>( <var class="Arg">The library table <var class=Arg"tbl</var> is completed with help of the library table with name <var class="Arg">libnam</var>, by factoring out the classes in the list <java.lang.StringIndexOutOfBoundsException: Range [0, 178) out of bounds for length 0

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