Character Table info for 23:11
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Name:
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23:11
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Group order:
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253 = 11 ⋅ 23
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Number of classes:
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13
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InfoText value:
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origin: CAS library,
maximal subgroup of M23,
test: 1.OR, JAMES, JAMES,n=3,
and restricted characters decompose properly.
tests: 1.o.r., pow[11,23]
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Group constructions in GAP:
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AtlasStabilizer( "L2(23)", "L223G1-p24B0" )
,
AtlasStabilizer( "M23", "M23G1-p40320B0" )
,
AtlasSubgroup( "L2(23)", 1 )
,
AtlasSubgroup( "M23", 7 )
,
PrimitiveGroup( 23, 3 )
,
SmallGroup( 253, 1 )
,
TransitiveGroup( 23, 3 )
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Stored class fusions from this table:
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Co1,
Co2,
Co3,
F3+,
Fi23,
L2(23),
M23,
M24