Character Table info for 27:S6(2)
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Name:
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S8(2)M3
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Group order:
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185794560 = 216 ⋅ 34 ⋅ 5 ⋅ 7
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Number of classes:
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114
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InfoText value:
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origin: Dixon's Algorithm,
3rd maximal subgroup of S8(2),
2A centralizer in S8(2),
sorted w.r.t. normal series 2 < 2^7 < 2^7:S6(2)
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Group constructions in GAP:
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AtlasStabilizer( "S8(2)", "S82G1-p255B0" )
,
AtlasSubgroup( "2.Fi22", 6 )
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Stored class fusions from this table:
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2.Fi22,
S6(2),
S8(2)