Character Table info for 24:A8
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Name:
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2^4:a8
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Group order:
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322560 = 210 ⋅ 32 ⋅ 5 ⋅ 7
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Number of classes:
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25
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InfoText value:
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origin: CAS library,
names:= 2^4:a8
order: 322,560 = 2^10 . 3^2 . 5 . 7
number of classes: 25
source: todd,j.a.
a representation of the mathieu-group m24
as a collineation group
ann.mat.pura appl [4] 71
(1966),199-238
comments: 2^4:a8 is maximal subgroup of m24
test: orth.1, min, sym(3)
constructions: AGL(4,2),
tests: 1.o.r., pow[2,3,5,7]
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Group constructions in GAP:
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AGL( 4, 2 ),
AtlasStabilizer( "L5(2)", "L52G1-p31aB0" ),
AtlasStabilizer( "M24", "M24G1-p759B0" ),
AtlasSubgroup( "M24", 3 ),
PerfectGroup( 322560, 4 ),
PrimitiveGroup( 16, 11 ),
TransitiveGroup( 16, 1906 ),
TransitiveGroup( 30, 1717 )
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Stored class fusions from this table:
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A8,
L5(2),
M24
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Stored class fusions to this table:
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24:A7,
210.A8,
A8