Character Table info for U3(5).3.2
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Name:
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U3(5).3.2
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Group order:
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756000 = 25 ⋅ 33 ⋅ 53 ⋅ 7
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Number of classes:
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29
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InfoText value:
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origin: ATLAS of finite groups,
maximal subgroup of Co3,
tests: 1.o.r., pow[2,3,5,7],
constructions: Aut(U3(5))
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Maximal subgroups:
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
5 |
6000 |
126 |
51+2:(24:2) |
5^(1+2):(24:2) |
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Group constructions in GAP:
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AtlasSubgroup( "Co3", 7 )
,
AutomorphismGroup( AtlasGroup( "U3(5)" ) )
,
PrimitiveGroup( 126, 6 )
,
PrimitiveGroup( 525, 4 )
,
PrimitiveGroup( 1750, 3 )
,
PrimitiveGroup( 1750, 4 )
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Stored class fusions from this table:
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Co3
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Stored class fusions to this table:
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3.U3(5).S3,
32.2.S4,
51+2:(24:2),
62:D12,
(3 × 2S5).2,
(52:[24] × U3(5)).S3,
(7:3 × 3):2,
U3(5),
U3(5).2,
U3(5).3