Character Table info for 21+8+:S6(2)
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Name:
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2^1+8:s6f2
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Group order:
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743178240 = 218 ⋅ 34 ⋅ 5 ⋅ 7
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Number of classes:
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100
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InfoText value:
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origin: CAS library,
maximal subgroup of Co2,
Source: Table from Birmingham.
Test: 1.OR, JAMES, JAMES,n=3,
and restricted characters decompose properly.
tests: 1.o.r., pow[2,3,5,7]
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Group constructions in GAP:
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AtlasStabilizer( "Co2", "Co2G1-p56925B0" )
,
AtlasSubgroup( "Co2", 4 )
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Stored class fusions from this table:
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28:S6(2),
Co2,
S6(2)
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Stored class fusions to this table:
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21+8+.22.22.24.S3,
21+8+.23.22.23.S3,
21+8+.23.25.S3