Character Table info for 35:(2 × M11)
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Name:
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3^5:(2xm11)
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Group order:
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3849120 = 25 ⋅ 37 ⋅ 5 ⋅ 11
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Number of classes:
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37
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InfoText value:
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origin: CAS library,
maximal subgroup of Co3,
Test: 1.OR, JAMES, JAMES,n=3,
and restricted characters decompose properly.
tests: 1.o.r., pow[2,3,5,11]
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Group constructions in GAP:
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AtlasStabilizer( "Co3", "Co3G1-p128800B0" )
,
AtlasSubgroup( "Co3", 5 )
,
PrimitiveGroup( 243, 31 )
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Stored class fusions from this table:
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2 × M11,
Co3