Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O₁₀⁺(2).2

Name:

O10+(2).2

Group order:

46998591897600 = 2²¹ ⋅ 3⁵ ⋅ 5² ⋅ 7 ⋅ 17 ⋅ 31

Number of classes:

155

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., constructions: Aut(O10+(2))

Some maximal subgroups:

	Order	Index	Structure	Name
1	23499295948800	2	O10+(2)	O10+(2)
3	89181388800	527	28:O8+(2):2	2^8:O8+(2):2

Available Brauer tables:

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

Atlas representations:

12 available

Group constructions in GAP:

AtlasGroup( "O10+(2).2" ), AtlasStabilizer( "S10(2)", "S102G1-p528B0" ), AutomorphismGroup( AtlasGroup( "O10+(2)" ) ), PrimitiveGroup( 496, 5 ), PrimitiveGroup( 527, 2 )

Stored class fusions from this table:

S₁₀(2)

Stored class fusions to this table:

2⁸:O₈⁺(2):2, O₁₀⁺(2)

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