Character Table info for 2.[26]:(S3 × S3)
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Name:
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2.[2^6]:(S3xS3)
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Group order:
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4608 = 29 ⋅ 32
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Number of classes:
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45
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InfoText value:
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origin: Dixon's Algorithm,
6th maximal subgroup of S6(2),
table is sorted w.r.t. normal series 2.2^2.2^4.3.2.3.2,
module for S3xS3 is 2^2 x 2^{1+4}_+
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Group constructions in GAP:
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AtlasStabilizer( "S6(2)", "S62G1-p315B0" )
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AtlasSubgroup( "S6(2)", 6 )
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TransitiveGroup( 24, 7442 )
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Stored class fusions from this table:
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S6(2)
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Stored class fusions to this table:
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2.[26].(2 × S3),
22.[26].(S3 × S3)