Character Table info for 32:Q8.2
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Name:
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3^2:Q8.2
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Group order:
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144 = 24 ⋅ 32
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Number of classes:
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9
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InfoText value:
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origin: Ostermann, tests: 1.o.r., pow[2,3]
Sylow 3 normalizer in sporadic Mathieu group M11,
maximal subgroup of M11,
Sylow 3 normalizer in sporadic Mathieu group M23,
Sylow 3 normalizer in M22.2
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Group constructions in GAP:
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AtlasStabilizer( "M11", "M11G1-p55B0" )
,
AtlasSubgroup( "M11", 3 )
,
PrimitiveGroup( 9, 5 )
,
SmallGroup( 144, 182 )
,
TransitiveGroup( 9, 19 )
,
TransitiveGroup( 12, 84 )
,
TransitiveGroup( 18, 68 )
,
TransitiveGroup( 18, 71 )
,
TransitiveGroup( 18, 73 )
,
TransitiveGroup( 24, 278 )
,
TransitiveGroup( 24, 279 )
,
TransitiveGroup( 24, 280 )
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Stored class fusions from this table:
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A6.22,
L3(4).22,
L3(4).23,
M11,
M22.2,
M23
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Stored class fusions to this table:
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2.HSN3,
32:Q8,
(32:8 × A6).2,
(32:D8 × D10).2,
(32:D8 × U4(3).22).2,
32:D8