Character Table info for 24:A6
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Name:
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2^4:a6
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Group order:
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5760 = 27 ⋅ 32 ⋅ 5
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Number of classes:
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12
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InfoText value:
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origin: CAS library,
maximal subgroup of M22,
test: OR.1, JAMES, JAMES,n=3,
and restricted characters decompose properly.
tests: 1.o.r., pow[2,3,5]
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Duplicates:
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U4(3)M9
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Group constructions in GAP:
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AtlasStabilizer( "M22", "M22G1-p77B0" ),
AtlasSubgroup( "M22", 2 ),
PerfectGroup( 5760, 1 ),
PrimitiveGroup( 16, 17 ),
TransitiveGroup( 16, 1654 ),
TransitiveGroup( 30, 579 ),
TransitiveGroup( 30, 582 )
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Stored class fusions from this table:
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24.S6,
24:A7,
A6,
M22,
24:S6,
U4(3)
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Stored class fusions to this table:
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25:A6,
24:32:4,
24:3A6,
2.25:A6,
25:3A6,
2.25:3A6,
A6,
24:A5