Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₁₀(2)

Name:

S10(2)

Group order:

24815256521932800 = 2²⁵ ⋅ 3⁶ ⋅ 5² ⋅ 7 ⋅ 11 ⋅ 17 ⋅ 31

Number of classes:

198

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
1	50030759116800	496	O10−(2).2	O10-(2).2
2	46998591897600	528	O10+(2).2	O10+(2).2
10	163680	151608360960	L2(32).5	L2(32).5

Available Brauer tables:

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

Atlas representations:

19 available

Group constructions in GAP:

AtlasGroup( "S10(2)" ), POmega( 11, 2 ), PSp( 10, 2 ), PrimitiveGroup( 496, 3 ), PrimitiveGroup( 528, 3 ), PrimitiveGroup( 1023, 1 )

Stored class fusions from this table:

O₁₂⁺(2).2

Stored class fusions to this table:

L₂(32).5, O₁₀⁺(2).2, O₁₀⁻(2).2

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