Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O₁₀⁻(2).2

Name:

O10-(2).2

Group order:

50030759116800 = 2²¹ ⋅ 3⁶ ⋅ 5² ⋅ 7 ⋅ 11 ⋅ 17

Number of classes:

164

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
1	25015379558400	2	O10−(2)	O10-(2)
2	101072240640	495	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)
11	dec. matrix (PDF)
17	dec. matrix (PDF)

Atlas representations:

9 available

Group constructions in GAP:

AtlasGroup( "O10-(2).2" ), AtlasStabilizer( "S10(2)", "S102G1-p496B0" ), AtlasSubgroup( "Fi24'.2", 5 ), AutomorphismGroup( AtlasGroup( "O10-(2)" ) ), PrimitiveGroup( 495, 2 ), PrimitiveGroup( 528, 5 )

Stored class fusions from this table:

²E₆(2).2, F₃₊.2, S₁₀(2)

Stored class fusions to this table:

2⁸:O₈⁻(2):2, O₁₀⁻(2)

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