Character Table info for 2.Co1
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Name:
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2.Co1
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Group order:
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8315553613086720000 = 222 ⋅ 39 ⋅ 54 ⋅ 72 ⋅ 11 ⋅ 13 ⋅ 23
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Number of classes:
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167
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13,23]
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Maximal subgroups:
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Stored Sylow p normalizers:
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Available Brauer tables:
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Atlas representations:
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9 available
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Group constructions in GAP:
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AtlasGroup( "2.Co1" )
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Stored class fusions from this table:
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Co1
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Stored class fusions to this table:
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2.211:M24,
2.22+12:(A8 × S3),
2.24+12.(S3 × 3S6),
2.(13:6 × A4).2,
2.(A4 × G2(4)).2,
2.(A5 × J2).2,
2.(D10 × J2).2,
2.A9 × S3,
21+24.2.Co1,
2 × 36:2.M12,
2 × 31+4.2U4(2).2,
2 × 52:2A5,
2 × 51+2:GL2(5),
2 × 72:(3 × 2A4),
2 × 23:11,
2 × (7:3 × L2(7)):2,
2 × Co1N3,
2 × Co1N5,
2 × Co2,
2 × Co3,
2 × U6(2).3.2,
33+4:(2.S4)2,
53:(4 × (2 × A5).2),
6.Suz.2,
(2.A6 × U3(3)).2,
(2.A7 × L2(7)).2,
(2 × 21+8+).O8+(2),
(32 × 2).U4(3).D8,
(7:3 × 2.A7):2,
(11:5 × D12).2,
(D10 × 2.(A5 × A5).2).2,
(Q16 × U3(3)).2,
NDG(2.Co1, 33),
NDG(2.Co1, 52)