Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for O₈⁻(2)

Name:

O8-(2)

Group order:

197406720 = 2¹² ⋅ 3⁴ ⋅ 5 ⋅ 7 ⋅ 17

Number of classes:

39

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	1658880	119	26:U4(2)	2^6:U4(2)
2	1451520	136	S6(2)	S6(2)
3	258048	765	23+6:(L3(2) × 3)	2^{3+6}:(L3(2)x3)
4	184320	1071	21+8+:(S3 × A5)	2^{1+8}_+:(S3xA5)
5	120960	1632	(A8 × 3):2	(A8x3).2
6	8160	24192	L2(16).2	L2(16).2
7	4320	45696	(S3 × S3 × A5):2	(S3xS3xA5):2
8	168	1175040	L3(2)	L3(2)

Available Brauer tables:

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

Atlas representations:

30 available

Group constructions in GAP:

AtlasGroup( "O8-(2)" ), POmega( -1, 8, 2 ), PrimitiveGroup( 119, 1 ), PrimitiveGroup( 136, 9 ), PrimitiveGroup( 765, 1 ), PrimitiveGroup( 1071, 1 ), PrimitiveGroup( 1632, 1 )

Stored class fusions from this table:

2⁸:O₈⁻(2), O₈⁻(2).2

Stored class fusions to this table:

2⁶:U₄(2), 2⁸:O₈⁻(2), 2¹⁺⁸₊:(S₃ × A₅), 2³⁺⁶:(L₃(2) × 3), (A₈ × 3):2, (S₃ × S₃ × A₅):2, L₂(16).2, L₃(2), S₆(2)

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