Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O₈⁺(2).2

Name:

O8+(2).2

Group order:

348364800 = 2¹³ ⋅ 3⁵ ⋅ 5² ⋅ 7

Number of classes:

67

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r.

Some maximal subgroups:

	Order	Index	Structure	Name
1	174182400	2	O8+(2)	O8+(2)
2	2903040	120	2 × S6(2)	2xS6(2)

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
7	dec. matrix (PDF)

Group constructions in GAP:

AtlasStabilizer( "S8(2)", "S82G1-p136B0" ), PrimitiveGroup( 120, 17 ), PrimitiveGroup( 135, 3 ), PrimitiveGroup( 960, 8 ), PrimitiveGroup( 1120, 2 ), PrimitiveGroup( 1575, 2 ), PrimitiveGroup( 2025, 33 )

Stored class fusions from this table:

2⁸:O₈⁺(2):2, Fi₂₂, O₈⁺(2).3.2, S₈(2)

Stored class fusions to this table:

2.O₈⁺(2).2, 2².O₈⁺(2).2, 2⁶:S₈, 2⁸:O₈⁺(2):2, 2 × S₆(2), (3 × O₈⁺(2)):2, Isoclinic(2.O₈⁺(2).2), O₈⁺(2)

File created automatically by GAP on 6-May-2025.