Character Table info for A5 × D10
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Name:
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a5xd10
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Group order:
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600 = 23 ⋅ 3 ⋅ 52
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Number of classes:
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20
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InfoText value:
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origin: CAS library,
maximal subgroup of J2,
normalizer of a defect 5-subgroup of type 5AB in G2(4),
test: 1.OR, 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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D10xA5
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Group constructions in GAP:
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AtlasStabilizer( "J2", "J2G1-p1008B0" ),
AtlasStabilizer( "U3(4).2", "U34d2G1-p208B0" ),
AtlasSubgroup( "J2", 6 ),
AtlasSubgroup( "U3(4).2", 3 ),
DirectProduct( "A5", "D10" ),
SmallGroup( 600, 146 ),
TransitiveGroup( 25, 46 ),
TransitiveGroup( 30, 128 )
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Stored class fusions from this table:
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2 × A5,
(A5 × D10).2,
G2(4),
J2,
U3(4).2
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Stored class fusions to this table:
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2A5 × D10