Character Table info for 34:A6
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Name:
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3^4:A6
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Group order:
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29160 = 23 ⋅ 36 ⋅ 5
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Number of classes:
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21
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InfoText value:
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origin: computed using the tables of U4(3), U4(3).2_3,
3^4:M10 and A6; maximal subgroup of U4(3)
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Group constructions in GAP:
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PerfectGroup( 29160, 4 )
,
PrimitiveGroup( 81, 133 )
,
TransitiveGroup( 30, 1019 )
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Stored class fusions from this table:
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34:(2 × A6),
34:S6,
34:M10,
A6,
U4(3)
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Stored class fusions to this table:
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32.(34:A6),
A6