Character Table info for A10
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Name:
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A10
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Group order:
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1814400 = 27 ⋅ 34 ⋅ 52 ⋅ 7
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Number of classes:
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24
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
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Maximal subgroups:
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Available Brauer tables:
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Atlas representations:
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68 available
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Group constructions in GAP:
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AlternatingGroup( 10 )
,
AtlasGroup( "A10" )
,
AtlasStabilizer( "A11", "A11G1-p11B0" )
,
AtlasSubgroup( "A11", 1 )
,
PerfectGroup( 1814400, 1 )
,
PrimitiveGroup( 10, 8 )
,
PrimitiveGroup( 45, 6 )
,
PrimitiveGroup( 120, 18 )
,
PrimitiveGroup( 126, 1 )
,
PrimitiveGroup( 210, 1 )
,
PrimitiveGroup( 945, 1 )
,
PrimitiveGroup( 2520, 6 )
,
TransitiveGroup( 10, 44 )
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Stored class fusions from this table:
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S10,
A11,
O9(3)
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Stored class fusions to this table:
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2.A10,
(A5 × A5):4,
(A6 × A4):2,
(A7 × 3):2,
A6.23,
S8,
A9,
24:S5