Character Table info for 31+4+:21+4-D10
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Name:
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3.ONM6
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Group order:
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77760 = 26 ⋅ 35 ⋅ 5
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Number of classes:
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46
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InfoText value:
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6th maximal subgroup of 3.ON, type 3^{1+4}_+:2^{1+4}_-D_{10}
constructed by T. Breuer (1995/08/13) using the tables of ON, 3.ON, ONM6,
table is sorted according to (unique) chief series 3.3^4.2.2^4.5.2,
(of course should be stored as projective table of ONM6 but this table is
sorted in a too ugly way)
tests: 1.OR, pow[2,3,5], fusion in 3.ON
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Group constructions in GAP:
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AtlasSubgroup( "3.ON", 6 )
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Stored class fusions from this table:
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3.ON,
3.ON.2N3,
34:2(1+4)D10