Character Table info for 26:(L3(2) × S3)
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Name:
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2^6:(psl(3,2)xs3)
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Group order:
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64512 = 210 ⋅ 32 ⋅ 7
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Number of classes:
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33
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InfoText value:
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origin: CAS library,
names:= 2^6:[psl(3,2]xs3)
order: 64,512 = 2^10 . 3^2 . 7
number of classes: 33
source/origin: pahlings,h.
comments: 2^6:(psl(3,2)xs3) is maximal subgroup of m24
test: orth.1, min, sym(3)
tests: 1.o.r., pow[2,3,7]
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Group constructions in GAP:
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AtlasStabilizer( "L5(2)", "L52G1-p155aB0" ),
AtlasStabilizer( "M24", "M24G1-p3795B0" ),
AtlasSubgroup( "M24", 7 ),
PrimitiveGroup( 64, 53 ),
TransitiveGroup( 24, 16060 ),
TransitiveGroup( 24, 16061 ),
TransitiveGroup( 28, 620 )
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Stored class fusions from this table:
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L3(2) × S3,
L5(2),
M24