Character Table info for 5:4 × S5
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Name:
 
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5:4xS5
 
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Group order:
 
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2400 = 25 ⋅ 3 ⋅ 52
 
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Number of classes:
 
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35
 
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InfoText value:
 
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10th maximal subgroup of HS.2,
structure 5:4xS5
 
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Group constructions in GAP:
 
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AtlasSubgroup( "HS.2", 10 ),
TransitiveGroup( 25, 64 ),
TransitiveGroup( 30, 380 )
 
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Stored class fusions from this table:
 
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5:4 × S5 × 2,
Co2,
Fi22,
HS.2,
He.2
 
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Stored class fusions to this table:
 
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5:4 × A5,
6 × 5:4 × S5,
(A5 × D10).2