Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O₁₀⁺(2)

Name:

O10+(2)

Group order:

23499295948800 = 2²⁰ ⋅ 3⁵ ⋅ 5² ⋅ 7 ⋅ 17 ⋅ 31

Number of classes:

97

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
1	47377612800	496	S8(2)	S8(2)
2	44590694400	527	28:O8+(2)	2^8:O8+(2)
3	10239344640	2295	210:L5(2)	2^10:L5(2)
4	10239344640	2295	210:L5(2)	O10+(2)M4
5	1184440320	19840	(3 × O8−(2)):2	(3xO8-(2)):2
8	3110400	7555072	(A5 × U4(2)):2	(A5xU4(2)):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)
31	dec. matrix (PDF)

Atlas representations:

24 available

Group constructions in GAP:

AtlasGroup( "O10+(2)" ), POmega( 1, 10, 2 ), PrimitiveGroup( 496, 4 ), PrimitiveGroup( 527, 1 ), PrimitiveGroup( 2295, 2 )

Stored class fusions from this table:

O₁₀⁺(2).2

Stored class fusions to this table:

2⁸:O₈⁺(2), 2¹⁰:L₅(2), 2¹⁰⁺¹⁶.O₁₀⁺(2), (3 × O₈⁻(2)):2, (A₅ × U₄(2)):2, 2¹⁰:L₅(2), S₈(2)

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