Character Table info for 24+12.(S3 × 3S6)
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Name:
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2^(4+12).(S3x3S6)
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Group order:
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849346560 = 221 ⋅ 34 ⋅ 5
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Number of classes:
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220
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InfoText value:
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origin: computed by Alexander Hulpke using Dixon's algorithm,
9th maximal subgroup of Co1,
table is sorted w.r. to normal series 2^4.2^12.S3.3S6,
tests: 1.o.r., pow[2,3,5]
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Group constructions in GAP:
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AtlasSubgroup( "Co1", 9 )
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Stored class fusions from this table:
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212.(S3 × 3S6),
Co1,
S3 × 3.S6
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Stored class fusions to this table:
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2.24+12.(S3 × 3S6),
24+12.(S3 × 31+2+:D8)