Character Table info for 22+4:(3 × 3):2
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Name:
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2^(2+4):(3x3):2
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Group order:
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1152 = 27 ⋅ 32
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Number of classes:
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17
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InfoText value:
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origin: Dixon's Algorithm,
table of the intersection of (nonconjugate) maximal subgroups
2^4:A7 and 2^4:A7 in McL
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Group constructions in GAP:
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SmallGroup( 1152, 155478 )
,
TransitiveGroup( 16, 1297 )
,
TransitiveGroup( 24, 2758 )
,
TransitiveGroup( 24, 2759 )
,
TransitiveGroup( 24, 2761 )
,
TransitiveGroup( 24, 2763 )
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Stored class fusions from this table:
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24:A7,
22+4:(S3 × S3),
M23,
McL,
24:A7
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Stored class fusions to this table:
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21+1+2+2:S3,
3.22+4:(3 × 3):2