Character Table info for U4(3).(22)122
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Name:
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U4(3).(2^2)_{122}
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Group order:
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13063680 = 29 ⋅ 36 ⋅ 5 ⋅ 7
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Number of classes:
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59
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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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PrimitiveGroup( 112, 5 ),
PrimitiveGroup( 126, 11 ),
PrimitiveGroup( 280, 17 ),
PrimitiveGroup( 540, 7 ),
PrimitiveGroup( 567, 5 ),
PrimitiveGroup( 2835, 7 )
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Stored class fusions from this table:
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U4(3).D8,
U6(2).2
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Stored class fusions to this table:
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2.U4(3).(22)1*2*2*,
2.U4(3).(22)1*2*2,
2.U4(3).(22)1*22,
2.U4(3).(22)12*2*,
2.U4(3).(22)12*2,
2.U4(3).(22)122,
22.U4(3).(22)122,
31.U4(3).(22)122,
2.U4(3).(22)122,
2.U4(3).(22)122,
U4(3).21,
U4(3).22,
U4(3).22'