Character Table info for O8+(3)
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Name:
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O8+(3)
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Group order:
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4952179814400 = 212 ⋅ 312 ⋅ 52 ⋅ 7 ⋅ 13
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Number of classes:
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114
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,13]
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Maximal subgroups:
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Available Brauer tables:
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Atlas representations:
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30 available
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Group constructions in GAP:
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AtlasGroup( "O8+(3)" )
,
POmega( 1, 8, 3 )
,
PrimitiveGroup( 1080, 5 )
,
PrimitiveGroup( 1120, 7 )
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Stored class fusions from this table:
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B,
O8+(3).21,
O8+(3).21',
O8+(3).21'',
O8+(3).22,
O8+(3).22',
O8+(3).3,
O8+(3).4,
O8+(3).(22)111
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Stored class fusions to this table:
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2.O8+(3),
2.U4(3).(22)122,
22.O8+(3),
36:L4(3),
(A4 × U4(2)):2,
(A6 × A6):22,
O7(3),
O8+(2),
O7(3),
O7(3),
O7(3),
O7(3),
O7(3),
36:L4(3),
36:L4(3),
O8+(2),
O8+(2),
O8+(2),
31+8+:2(A4 × A4 × A4).2,
2.U4(3).(22)122,
2.U4(3).(22)122,
(A4 × U4(2)):2,
(A4 × U4(2)):2,
(A4 × U4(2)):2,
(A4 × U4(2)):2,
(A4 × U4(2)):2,
(A6 × A6):22,
(A6 × A6):22,
2((A4 ≀ 22):2)