Character Table info for P27/G1/L1/V1/ext3
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Name:
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P27/G1/L1/V1/ext3
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Group order:
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1837080 = 23 ⋅ 38 ⋅ 5 ⋅ 7
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Number of classes:
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82
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InfoText value:
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origin: Hanrath library,
structure is 3^6.A7,
characters sorted with permutation (26,28,29,30)(33,35,36,37)(64,65)(69,70)
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Group constructions in GAP:
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PerfectGroup( 1837080, 1 )
,
PrimitiveGroup( 729, 397 )
,
TransitiveGroup( 21, 121 )
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Stored class fusions from this table:
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A7