Character Table info for 3.M22
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Name:
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3.M22
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Group order:
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1330560 = 27 ⋅ 33 ⋅ 5 ⋅ 7 ⋅ 11
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Number of classes:
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34
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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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Duplicates:
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3.McLM3,
3.U6(2)M12,
3.U6(2)M13
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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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40 available
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Group constructions in GAP:
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AtlasGroup( "3.M22" )
,
AtlasSubgroup( "3.M22.2", 1 )
,
AtlasSubgroup( "3.McL", 2 )
,
AtlasSubgroup( "3.McL", 3 )
,
AtlasSubgroup( "3.U6(2)", 11 )
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AtlasSubgroup( "3.U6(2)", 12 )
,
AtlasSubgroup( "3.U6(2)", 13 )
,
PerfectGroup( 1330560, 2 )
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Stored class fusions from this table:
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3.M22.2,
3.McL,
3.U6(2),
M22
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Stored class fusions to this table:
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2 × 6.M22,
3.(A4 × 3):2,
3.A6.23,
3.A7,
210:3.M22,
3.L3(4),
24:3A6,
31+2+:Q8,
3 × 23.S4v1,
3 × 23:L3(2),
3 × 24:S5,
3 × 11:5,
3 × L2(11),
3 × M22C2A,
3 × McLN2,
3 × NRS(M22, [26]),
5:4 × 3,
211.3.M22,
6.M22,
7:3 × 3,
12.M22