Character Table info for A12
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Name:
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A12
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Group order:
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239500800 = 29 ⋅ 35 ⋅ 52 ⋅ 7 ⋅ 11
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Number of classes:
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43
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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]
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Maximal subgroups:
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Available Brauer tables:
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Atlas representations:
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25 available
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Group constructions in GAP:
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AlternatingGroup( 12 )
,
AtlasGroup( "A12" )
,
AtlasStabilizer( "A13", "A13G1-p13B0" )
,
AtlasStabilizer( "HN", "HNG1-p1140000B0" )
,
AtlasSubgroup( "HN", 1 )
,
PrimitiveGroup( 12, 5 )
,
PrimitiveGroup( 66, 4 )
,
PrimitiveGroup( 220, 2 )
,
PrimitiveGroup( 462, 1 )
,
PrimitiveGroup( 495, 7 )
,
PrimitiveGroup( 792, 1 )
,
PrimitiveGroup( 2520, 9 )
,
TransitiveGroup( 12, 300 )
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Stored class fusions from this table:
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S12,
A13,
HN,
O10−(2)
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Stored class fusions to this table:
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2.A12,
25:S6,
26:33:S4,
34:23.S4,
(A6 × A6):22,
(A7 × A5):2,
(A8 × A4):2,
(A9 × 3):2,
S10,
A11,
M12