Character Table info for 52.5.52.4S5
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Name:
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5^2.5.5^2.4S5
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Group order:
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1500000 = 25 ⋅ 3 ⋅ 56
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Number of classes:
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51
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InfoText value:
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11th maximal subgroup of HN.2,
2nd maximal subgroup of G2(5),
origin: Dixon's Algorithm
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Group constructions in GAP:
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AtlasStabilizer( "G2(5)", "G25G1-p3906bB0" )
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AtlasSubgroup( "G2(5)", 2 )
,
AtlasSubgroup( "HN.2", 11 )
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Stored class fusions from this table:
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G2(5),
HN.2,
Ly
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Stored class fusions to this table:
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52.5.52.4A5