Character Table info for 26:3.S6
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Name:
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2^6:3.s6
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Group order:
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138240 = 210 ⋅ 33 ⋅ 5
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Number of classes:
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33
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InfoText value:
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origin: CAS library,
maximal subgroup of M24,
maximal subgroup of He,
names:= 2^6:3.s6
order: 138,240 = 2^10 . 3^3 . 5
number of classes: 33
source/origin: pahlings,h.
test: orth.1, min, sym[3]
tests: 1.o.r., pow[2,3,5]
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Group constructions in GAP:
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AtlasStabilizer( "He", "HeG1-p29155B0" ),
AtlasStabilizer( "M24", "M24G1-p1771B0" ),
AtlasSubgroup( "He", 3 ),
AtlasSubgroup( "He", 4 ),
AtlasSubgroup( "M24", 5 ),
PrimitiveGroup( 64, 47 ),
TransitiveGroup( 24, 17948 )
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Stored class fusions from this table:
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3.A6.21,
He,
M24
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Stored class fusions to this table:
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3.A6.21