Character Table info for 22+4:(3 × S3)
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Name:
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2^2+4.3xs3
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Group order:
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1152 = 27 ⋅ 32
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Number of classes:
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20
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InfoText value:
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origin: CAS library,
9th maximal subgroup of J3,
test: 1. o.r., sym 2 decompose correctly
tests: 1.o.r., pow[2,3]
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Group constructions in GAP:
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AtlasStabilizer( "J2", "J2G1-p525B0" )
,
AtlasStabilizer( "J3", "J3G1-p43605B0" )
,
AtlasSubgroup( "J2", 4 )
,
AtlasSubgroup( "J3", 9 )
,
SmallGroup( 1152, 155469 )
,
TransitiveGroup( 24, 2764 )
,
TransitiveGroup( 24, 2766 )
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Stored class fusions from this table:
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22+4:(S3 × S3),
J2,
J3,
L3(4).6
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Stored class fusions to this table:
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24:A4b,
23+4:(3 × S3)