Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S₄(4).4

Name:

S4(4).4

Group order:

3916800 = 2¹⁰ ⋅ 3² ⋅ 5² ⋅ 17

Number of classes:

30

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., constructions: Aut(S4(4))

Available Brauer tables:

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

Atlas representations:

2 available

Group constructions in GAP:

AtlasGroup( "S4(4).4" ), AtlasStabilizer( "He.2", "Hed2G1-p2058B0" ), AtlasSubgroup( "Fi23", 13 ), AtlasSubgroup( "He.2", 2 ), AutomorphismGroup( AtlasGroup( "S4(4)" ) ), PrimitiveGroup( 425, 1 ), PrimitiveGroup( 1360, 3 )

Stored class fusions from this table:

F₄(2).2, Fi₂₃, He.2

Stored class fusions to this table:

(L₃(2) × S₄(4):2).2, S₄(4), S₄(4).2

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