Character Table info for 2.L3(4)
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Name:
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2.L3(4)
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Group order:
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40320 = 27 ⋅ 32 ⋅ 5 ⋅ 7
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Number of classes:
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18
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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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Maximal subgroups:
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Available Brauer tables:
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Atlas representations:
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29 available
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Group constructions in GAP:
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AtlasGroup( "2.L3(4)" )
,
AtlasSubgroup( "2.M22", 1 )
,
PerfectGroup( 40320, 4 )
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Stored class fusions from this table:
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2.L3(4).21,
2.L3(4).22,
2.L3(4).23,
2.M22,
Isoclinic(2.L3(4).21),
Isoclinic(2.L3(4).22),
Isoclinic(2.L3(4).23),
L3(4)
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Stored class fusions to this table:
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2 × A6,
2 × A6,
2 × L3(2),
2 × L3(2),
22.L3(4),
2 × A6,
2 × L3(2),
41.L3(4),
42.L3(4),
6.L3(4),
121.L3(4),
122.L3(4),
(22 × 3).L3(4),
Isoclinic(2 × 32:Q8),
25:A5