Character Table info for S12
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Name:
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A12.2
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Group order:
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479001600 = 210 ⋅ 35 ⋅ 52 ⋅ 7 ⋅ 11
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Number of classes:
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77
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11],
constructions: Aut(A12)
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Maximal subgroups:
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Stored Sylow p normalizers:
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p |
Order |
Index |
Structure |
Name |
7 |
5040 |
95040 |
7:6 × A5.2 |
7:6xA5.2 |
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Available Brauer tables:
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Atlas representations:
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10 available
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Group constructions in GAP:
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AtlasGroup( "A12.2" )
,
AtlasStabilizer( "A13.2", "S13G1-p13B0" )
,
AtlasStabilizer( "A14", "A14G1-p91B0" )
,
AtlasStabilizer( "HN.2", "HNd2G1-p1140000B0" )
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AtlasSubgroup( "Fi23", 9 )
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AtlasSubgroup( "HN.2", 2 )
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AutomorphismGroup( AlternatingGroup( 12 ) )
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PrimitiveGroup( 12, 6 )
,
PrimitiveGroup( 66, 5 )
,
PrimitiveGroup( 220, 3 )
,
PrimitiveGroup( 462, 2 )
,
PrimitiveGroup( 495, 8 )
,
PrimitiveGroup( 792, 2 )
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SymmetricGroup( 12 )
,
TransitiveGroup( 12, 301 )
,
TransitiveGroup( 24, 24748 )
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Stored class fusions from this table:
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A13.2,
A14,
Fi23,
HN.2
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Stored class fusions to this table:
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2.A12.2,
26:S6,
7:6 × A5.2,
(A5 × A12):2,
(S6 × S6):2,
S11,
A12,
Isoclinic(2.A12.2),
L2(11).2,
S3 ≀ S4,
S4 ≀ S3,
S7 × S5,
S8 × S4,
S9 × S3,
S10 × 2