Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O₈⁺(2).3.2

Name:

O8+(2).3.2

Group order:

1045094400 = 2¹³ ⋅ 3⁶ ⋅ 5² ⋅ 7

Number of classes:

68

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7], constructions: Aut(O8+(2))

Duplicates:

F4(2)M8

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
5	2400	435456	52:4S4	Fi22N5

Group constructions in GAP:

AtlasStabilizer( "Fi22", "F22G1-p61776B0" ), AtlasSubgroup( "Fi22", 4 ), AutomorphismGroup( AtlasGroup( "O8+(2)" ) ), PrimitiveGroup( 1575, 4 )

Stored class fusions from this table:

F₄(2), Fi₂₂

Stored class fusions to this table:

2².O₈⁺(2).3.2, (A₄ × O₈⁺(2).3).2, 5²:4S₄, O₈⁺(2).2, O₈⁺(2).3

File created automatically by GAP on 20-May-2025.