Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S₄(5).2

Name:

S4(5).2

Group order:

9360000 = 2⁷ ⋅ 3² ⋅ 5⁴ ⋅ 13

Number of classes:

47

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., constructions: Aut(S4(5)), SO(5,5)

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
13	dec. matrix (PDF)

Atlas representations:

7 available

Group constructions in GAP:

AtlasGroup( "S4(5).2" ), AutomorphismGroup( AtlasGroup( "S4(5)" ) ), PrimitiveGroup( 156, 2 ), PrimitiveGroup( 156, 4 ), PrimitiveGroup( 300, 7 ), PrimitiveGroup( 325, 2 ), SO( 5, 5 )

Stored class fusions from this table:

U₄(5)

Stored class fusions to this table:

2.S₄(5).2, Isoclinic(2.S₄(5).2), S₄(5)

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