Character Table info for L3(4).3.22
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Name:
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L3(4).3.2_2
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Group order:
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120960 = 27 ⋅ 33 ⋅ 5 ⋅ 7
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Number of classes:
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20
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
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Group constructions in GAP:
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AtlasStabilizer( "M24", "M24G1-p2024B0" )
,
AtlasSubgroup( "M24", 6 )
,
PrimitiveGroup( 21, 7 )
,
PrimitiveGroup( 280, 10 )
,
PrimitiveGroup( 960, 4 )
,
TransitiveGroup( 21, 103 )
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Stored class fusions from this table:
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L3(4).D12,
M24
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Stored class fusions to this table:
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22.L3(4).3.22,
22.L3(4).S3,
24:(3 × A5):2,
3.L3(4).3.22,
L3(4).22,
L3(4).3