Character Table info for 2.HS
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Name:
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2.HS
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Group order:
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88704000 = 210 ⋅ 32 ⋅ 53 ⋅ 7 ⋅ 11
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Number of classes:
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42
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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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p |
Order |
Index |
Structure |
Name |
2 |
1024 |
86625 |
2.HSN2 |
2.HSN2 |
3 |
576 |
154000 |
2.HSN3 |
2.HSN3 |
5 |
4000 |
22176 |
51+2:8:4 |
5^(1+2):8:4 |
7 |
84 |
1056000 |
7:12 |
7:12 |
11 |
110 |
806400 |
2 × 11:5 |
2x11:5 |
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Available Brauer tables:
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Atlas representations:
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13 available
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Group constructions in GAP:
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AtlasGroup( "2.HS" )
,
AtlasSubgroup( "2.HS.2", 1 )
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Stored class fusions from this table:
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2.HS.2,
HS
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Stored class fusions to this table:
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2.24.S6,
2.43.L3(2),
Isoclinic(U3(5).2 × 2),
2 × M11,
2.4.24.S5,
2.(2 × A6.22),
2.HSN2,
2.HSN3,
2.HSN3A,
2.M22,
2 × 11:5,
2 × M11,
5:4 × 2.A5,
51+2:8:4,
7:12,
Isoclinic(2.L3(4).21),
Isoclinic(S8 × 2),
Isoclinic(U3(5).2 × 2),
NDG(2.HS, Q8)