Character Table info for S4(5)
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Name:
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S4(5)
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Group order:
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4680000 = 26 ⋅ 32 ⋅ 54 ⋅ 13
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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.
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Maximal subgroups:
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Available Brauer tables:
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Atlas representations:
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19 available
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Group constructions in GAP:
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AtlasGroup( "S4(5)" )
,
POmega( 5, 5 )
,
PSp( 4, 5 )
,
PrimitiveGroup( 156, 1 )
,
PrimitiveGroup( 156, 3 )
,
PrimitiveGroup( 300, 6 )
,
PrimitiveGroup( 325, 1 )
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Stored class fusions from this table:
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S4(5).2
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Stored class fusions to this table:
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2.S4(5),
53:(2 × A5).2,
51+2+:4A5,
(22 × A5):2,
A6,
L2(25).22,
24:A5,
S5 × S3,
2.(A5 × A5).2