Character Table info for 32:Q8
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Name:
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3^2:Q8
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Group order:
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72 = 23 ⋅ 32
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Number of classes:
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6
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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 M22
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Group constructions in GAP:
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AtlasStabilizer( "A6.2_3", "M10G1-p10B0" ),
AtlasStabilizer( "L3(4)", "L34G1-p280B0" ),
AtlasSubgroup( "L3(4)", 9 ),
MathieuGroup( 9 ),
PSU( 3, 2 ),
PrimitiveGroup( 9, 3 ),
SmallGroup( 72, 41 ),
TransitiveGroup( 9, 14 ),
TransitiveGroup( 12, 47 ),
TransitiveGroup( 18, 35 ),
TransitiveGroup( 24, 82 )
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Stored class fusions from this table:
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32:2A4,
32:Q8.2,
A6.23,
L3(4),
L3(7),
M22,
U3(5),
U3(11)
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Stored class fusions to this table:
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32:4,
31+2+:Q8,
12.M22N3,
(32:4 × 2.A6).2,
(32:4 × D10).2,
(32:4 × A6).2,
Isoclinic(2 × 32:Q8),
Isoclinic(2 × 31+2+:Q8),
Isoclinic(4 × 32:Q8),
(32:4 × A6).2,
suzdx