Character Table info for HS.2
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Name:
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HS.2
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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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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],
constructions: Aut(HS)
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Maximal subgroups:
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
5 |
4000 |
22176 |
51+2+:[25] |
HS.2N5 |
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Available Brauer tables:
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Atlas representations:
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68 available
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Group constructions in GAP:
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AtlasGroup( "HS.2" )
,
AtlasStabilizer( "Co2", "Co2G1-p476928B0" )
,
AtlasSubgroup( "Co2", 5 )
,
AutomorphismGroup( AtlasGroup( "HS" ) )
,
PrimitiveGroup( 100, 4 )
,
PrimitiveGroup( 1100, 3 )
,
PrimitiveGroup( 1100, 4 )
,
PrimitiveGroup( 3850, 2 )
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Stored class fusions from this table:
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Co2
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Stored class fusions to this table:
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2.HS.2,
25.S6,
21+6+:S5,
4.HS.2,
43:(L3(2) × 2),
5:4 × S5,
11:10,
(2 × A6.22).2,
HS,
51+2+:[25],
Isoclinic(2.HS.2),
L3(4).22,
M22.2,
S8 × 2