Character Table info for 22+4:(S3 × S3)
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Name:
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2^(2+4):(S3xS3)
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Group order:
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2304 = 28 ⋅ 32
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Number of classes:
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22
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InfoText value:
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source: H. Pahlings,
5th maximal subgroup of L3(4).D12,
4th maximal subgroup of J2.2,
9th maximal subgroup of J3.2,
8th maximal subgroup of McL.2,
table is sorted w.r. to normal series 2^2.2^4.3.2.3.2,
tests: 1.o.r., pow[2,3]
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Group constructions in GAP:
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AtlasStabilizer( "J2.2", "J2d2G1-p525B0" )
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AtlasSubgroup( "J2.2", 5 )
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AtlasSubgroup( "J3.2", 8 )
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AtlasSubgroup( "McL.2", 10 )
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TransitiveGroup( 24, 5073 )
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TransitiveGroup( 24, 5074 )
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TransitiveGroup( 24, 5075 )
,
TransitiveGroup( 24, 5076 )
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Stored class fusions from this table:
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J2.2,
J3.2,
L3(4).D12,
McL.2
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Stored class fusions to this table:
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22+4:(3 × S3),
22+4:(3 × 3):2,
3.22+4:(S3 × S3)