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