Character Table info for 4.M22
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Name:
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4.M22
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Group order:
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1774080 = 29 ⋅ 32 ⋅ 5 ⋅ 7 ⋅ 11
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Number of classes:
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39
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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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28 available
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Group constructions in GAP:
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AtlasGroup( "4.M22" )
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PerfectGroup( 1774080, 1 )
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Stored class fusions from this table:
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2.M22,
4.M22.2,
M22
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Stored class fusions to this table:
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2.(2 × A7),
2.(2 × L2(11)),
2.25:A6,
2.(25:S5),
2.(2 × 23:L3(2)),
4.M22N2,
41.L3(4),
4 × 7:3,
4 × 11:5,
12.M22,
(4 × A6).23,
Isoclinic(2 × 5:8),
Isoclinic(2 × (2.A4 × 3).2),
Isoclinic(4 × 32:Q8)