Character Table info for U3(4).2
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Name:
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U3(4).2
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Group order:
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124800 = 27 ⋅ 3 ⋅ 52 ⋅ 13
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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[2,3,5,13]
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Maximal subgroups:
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Available Brauer tables:
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Atlas representations:
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4 available
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Group constructions in GAP:
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AtlasGroup( "U3(4).2" )
,
AtlasStabilizer( "G2(4)", "G24G1-p2016B0" )
,
AtlasSubgroup( "G2(4)", 4 )
,
AtlasSubgroup( "U3(4).4", 1 )
,
PrimitiveGroup( 65, 4 )
,
PrimitiveGroup( 208, 2 )
,
PrimitiveGroup( 416, 2 )
,
PrimitiveGroup( 1600, 18 )
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Stored class fusions from this table:
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G2(4),
U3(4).4
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Stored class fusions to this table:
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22+4:(3 × D10),
52:D12,
13:6,
Isoclinic(2 × U3(4).2),
U3(4),
A5 × D10