Character Table info for 19:6
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Name:
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19:6
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Group order:
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114 = 2 ⋅ 3 ⋅ 19
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Number of classes:
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9
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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,
tests: 1.o.r., pow[2,3,19]
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Group constructions in GAP:
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AtlasStabilizer( "J1", "J1G1-p1540B0" ),
AtlasSubgroup( "J1", 4 ),
AtlasSubgroup( "R(27)", 6 ),
PrimitiveGroup( 19, 4 ),
SmallGroup( 114, 1 ),
TransitiveGroup( 19, 4 )
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Stored class fusions from this table:
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19:18,
J1,
ON,
R(27)