Character Table info for 52:4S5
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Name:
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5^2:4s5
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Group order:
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12000 = 25 ⋅ 3 ⋅ 53
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Number of classes:
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29
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InfoText value:
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origin: CAS library,
maximal subgroup of Ru,
source: received from S.Mattarei
test: 1.OR, JAMES, JAMES,n=3, JAMES,n=5,
and restricted characters decompose properly.
constructions: AGL(2,5),
tests: 1.o.r., pow[2,3,5]
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Group constructions in GAP:
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AGL( 2, 5 )
,
AtlasStabilizer( "L3(5)", "L35G1-p31aB0" )
,
AtlasStabilizer( "L3(5)", "L35G1-p31bB0" )
,
AtlasSubgroup( "Ru", 10 )
,
AtlasSubgroup( "Th", 10 )
,
PrimitiveGroup( 25, 22 )
,
TransitiveGroup( 25, 90 )
,
TransitiveGroup( 30, 795 )
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Stored class fusions from this table:
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L3(5),
Ru,
Th,
gl25