Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O₈⁺(3).2₂

Name:

O8+(3).2_2

Group order:

9904359628800 = 2¹³ ⋅ 3¹² ⋅ 5² ⋅ 7 ⋅ 13

Number of classes:

135

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,13]

Duplicates:

O8+(3).2_2'

Some maximal subgroups:

	Order	Index	Structure	Name
4	8843178240	1120	36:L4(3):22	3^6:L4(3):2_2
8	221079456	44800	33+6:(L3(3) × 2)	3^(3+6):(L3(3)x2)

Available Brauer tables:

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

Group constructions in GAP:

PrimitiveGroup( 1080, 7 ), PrimitiveGroup( 1080, 8 ), PrimitiveGroup( 1120, 9 )

Stored class fusions from this table:

O₈⁺(3).3.2, O₈⁺(3).(2²)₁₂₂, O₈⁺(3).D₈, O₈⁺(3).S₄

Stored class fusions to this table:

3⁶:L₄(3):2₂, 3³⁺⁶:(L₃(3) × 2), O₈⁺(3)

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