Character Table info for 71+2:(S3 × 6)
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Name:
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7^(1+2):(S3x6)
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Group order:
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12348 = 22 ⋅ 32 ⋅ 73
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Number of classes:
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31
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InfoText value:
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origin: Dixon's Algorithm
(group taken from a perm. repr. of He.2),
Sylow 7 normalizer in He.2 and Fi24',
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Group constructions in GAP:
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AtlasSubgroup( "He.2", 9 )
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Stored class fusions from this table:
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71+2+:(6 × S3).2,
F3+,
He.2
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Stored class fusions to this table:
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71+2:(S3 × 3)