Character Table info for 12.M22
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Name:
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12.M22
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Group order:
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5322240 = 29 ⋅ 33 ⋅ 5 ⋅ 7 ⋅ 11
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Number of classes:
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109
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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]
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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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22 available
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Group constructions in GAP:
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AtlasGroup( "12.M22" )
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Stored class fusions from this table:
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2.M22,
3.M22,
4.M22,
6.M22,
12.M22.2,
M22
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Stored class fusions to this table:
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2.(2 × 3.A7),
3 × 2.(2 × L2(11)),
3 × 2.(25:S5),
3 × 2.(2 × 23:L3(2)),
3 × 4.M22N2,
3 × Isoclinic(2 × 5:8),
2.25:3A6,
(4 × 3.A6).23,
12.M22N3,
121.L3(4),
12 × 7:3,
12 × 11:5,
NDG(12.M22, 32)