Character Table info for O8+(3).S4
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Name:
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O8+(3).S4
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Group order:
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118852315545600 = 215 ⋅ 313 ⋅ 52 ⋅ 7 ⋅ 13
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Number of classes:
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171
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InfoText value:
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origin: constructed by T. Breuer using the tables of O8+(3), O8+(3).A4,
O8+(3).2_2, O8+(3).4, B
tests: 1.o.r., pow[2,3,5,7,13,],
constructions: Aut(O8+(3))
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Atlas representations:
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2 available
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Group constructions in GAP:
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AtlasGroup( "O8+(3).S4" )
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AutomorphismGroup( AtlasGroup( "O8+(3)" ) )
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Stored class fusions from this table:
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B
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Stored class fusions to this table:
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22.(U3(3).2 × S4),
33+6:(L3(3) × D8),
(2 × O8+(3)).S4,
(32:2 × O8+(3)).S4,
O8+(3).21,
O8+(3).22,
O8+(3).3,
O8+(3).4,
O8+(3).A4,
O8+(3).D8