Character Table info for L3(4).22
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Name:
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L3(4).2^2
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Group order:
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80640 = 28 ⋅ 32 ⋅ 5 ⋅ 7
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Number of classes:
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22
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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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Duplicates:
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L3(4).22
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Group constructions in GAP:
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AtlasStabilizer( "HS.2", "HSd2G1-p1100aB0" ),
AtlasStabilizer( "McL.2", "McLd2G1-p22275aB0" ),
AtlasSubgroup( "HS.2", 3 ),
AtlasSubgroup( "McL.2", 6 ),
PrimitiveGroup( 56, 5 ),
PrimitiveGroup( 105, 3 ),
PrimitiveGroup( 120, 10 ),
PrimitiveGroup( 280, 8 ),
PrimitiveGroup( 336, 3 )
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Stored class fusions from this table:
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HS.2,
L3(4).D12,
McL.2,
U4(3).(22)133,
U6(2).2
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Stored class fusions to this table:
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2.L3(4).(22)1*2*3*,
2.L3(4).(22)1*2*3,
2.L3(4).(22)1*23*,
2.L3(4).(22)1*23,
2.L3(4).(22)12*3*,
2.L3(4).(22)12*3,
2.L3(4).(22)123*,
2.L3(4).(22)123,
22.L3(4).22,
2 × S5,
3.L3(4).22,
41.L3(4).(22)1*2*3*,
41.L3(4).(22)1*2*3,
41.L3(4).(22)1*23*,
41.L3(4).(22)1*23,
41.L3(4).(22)12*3*,
41.L3(4).(22)12*3,
41.L3(4).(22)123*,
41.L3(4).(22)123,
42.L3(4).(22)1*2*3*,
42.L3(4).(22)1*2*3,
42.L3(4).(22)1*23*,
42.L3(4).(22)1*23,
42.L3(4).(22)12*3*,
42.L3(4).(22)12*3,
42.L3(4).(22)123*,
42.L3(4).(22)123,
(3 × L3(4).22).2,
(A4 × L3(4):23):2,
(S6 × L3(4).2).2,
A6.22,
L3(4).21,
L3(4).22,
L3(4).23