Character Table info for G2(4).2
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Name:
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G2(4).2
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Group order:
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503193600 = 213 ⋅ 33 ⋅ 52 ⋅ 7 ⋅ 13
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Number of classes:
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40
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r.,
constructions: Aut(G2(4))
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Maximal subgroups:
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Available Brauer tables:
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Atlas representations:
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11 available
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Group constructions in GAP:
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AtlasGroup( "G2(4).2" )
,
AtlasStabilizer( "Suz.2", "Suzd2G1-p1782B0" )
,
AtlasSubgroup( "Suz.2", 2 )
,
AutomorphismGroup( AtlasGroup( "G2(4)" ) )
,
PrimitiveGroup( 416, 4 )
,
PrimitiveGroup( 1365, 3 )
,
PrimitiveGroup( 1365, 4 )
,
PrimitiveGroup( 2016, 8 )
,
PrimitiveGroup( 2080, 8 )
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Stored class fusions from this table:
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Suz.2
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Stored class fusions to this table:
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2.G2(4).2,
22+8:(3 × A5):2,
24+6:(A5 × 3):2,
2 × U3(3).2,
3.L3(4).22,
52:(4 × S3),
13:12,
(3 × G2(4)).2,
(A4 × G2(4)):2,
(A5 × A5):2,
(A5 × D10).2,
(D10 × A5).2,
G2(4),
Isoclinic(2.G2(4).2),
J2.2,
L2(13).2,
S3 × 7:6,
S5 × S3,
U3(4).4