Character Table info for S4 × L3(2)
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Name:
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s4xpsl(3,2)
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Group order:
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4032 = 26 ⋅ 32 ⋅ 7
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Number of classes:
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30
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InfoText value:
-
origin: CAS library,
maximal subgroup of He,
test: 1.OR, JAMES, JAMES,n=3,
and restricted characters decompose properly.
tests: 1.o.r., pow[2,3,7]
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Group constructions in GAP:
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AtlasSubgroup( "He", 9 )
,
DirectProduct( "s4", "L3(2)" )
,
TransitiveGroup( 28, 274 )
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Stored class fusions from this table:
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He,
S4 × L3(2).2