Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for O₁₀⁻(2)

Name:

O10-(2)

Group order:

25015379558400 = 2²⁰ ⋅ 3⁶ ⋅ 5² ⋅ 7 ⋅ 11 ⋅ 17

Number of classes:

115

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
1	50536120320	495	28:O8−(2)	2^8:O8-(2)
2	47377612800	528	S8(2)	S8(2)
4	1045094400	23936	(3 × O8+(2)):2	(3xO8+(2)):2
7	239500800	104448	A12	A12

Available Brauer tables:

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

Atlas representations:

11 available

Group constructions in GAP:

AtlasGroup( "O10-(2)" ), POmega( -1, 10, 2 ), PrimitiveGroup( 495, 1 ), PrimitiveGroup( 528, 4 )

Stored class fusions from this table:

²E₆(2), F₃₊, O₁₀⁻(2).2

Stored class fusions to this table:

2⁸:O₈⁻(2), (3 × O₈⁺(2)):2, A₁₂, S₈(2)

File created automatically by GAP on 13-Mar-2024.