Character Table info for 11:10
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Name:
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11:10
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Group order:
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110 = 2 ⋅ 5 ⋅ 11
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Number of classes:
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11
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InfoText value:
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origin: CAS library,
maximal subgroup of J1,
test: 1.OR, JAMES, JAMES,n=3,
and restricted characters decompose properly
constructions: AGL(1,11),
tests: 1.o.r., pow[2,5,11]
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Group constructions in GAP:
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AGL( 1, 11 ),
AtlasStabilizer( "J1", "J1G1-p1596B0" ),
AtlasStabilizer( "L2(11).2", "L211d2G1-p12B0" ),
AtlasSubgroup( "J1", 5 ),
AtlasSubgroup( "L2(11).2", 2 ),
PrimitiveGroup( 11, 4 ),
SmallGroup( 110, 1 ),
TransitiveGroup( 11, 4 ),
TransitiveGroup( 22, 4 )
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Stored class fusions from this table:
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S11,
Co2,
HS.2,
J1,
L2(11).2,
M12.2,
M22.2,
M24,
ON,
Suz
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Stored class fusions to this table:
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2 × 11:10,
3 × 11:20,
11:5,
11:20,
(22 × 11:5).2,
(11:5 × D12).2,
(11:5 × M12):2,
(A4 × 11:5).2