Character Table info for 23.L3(2)
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Name:
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2^3.L3(2)
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Group order:
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1344 = 26 ⋅ 3 ⋅ 7
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Number of classes:
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11
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InfoText value:
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nonsplit extension of 2^3 with L3(2),
maximal subgroup of G2(3),
constructed as factor of the subgroup 4^3.L3(2) of ON
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Group constructions in GAP:
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AtlasSubgroup( "G2(3)", 8 )
,
AtlasSubgroup( "G2(5)", 7 )
,
PerfectGroup( 1344, 2 )
,
SmallGroup( 1344, 814 )
,
TransitiveGroup( 14, 33 )
,
TransitiveGroup( 28, 152 )
,
TransitiveGroup( 28, 158 )
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Stored class fusions from this table:
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23.L3(2):2,
G2(3),
G2(5),
L3(2),
Ly
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Stored class fusions to this table:
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43.L3(2)