Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₂(16).4

Name:

L2(16).4

Group order:

16320 = 2⁶ ⋅ 3 ⋅ 5 ⋅ 17

Number of classes:

17

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,17], constructions: Aut(L2(16)), PGammaL(2,16), SigmaL(2,16), PSigmaL(2,16)

Duplicates:

S4(4).2M5

Available Brauer tables:

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

Atlas representations:

16 available

Group constructions in GAP:

AtlasGroup( "L2(16).4" ), AtlasStabilizer( "J3.2", "J3d2G1-p6156B0" ), AtlasSubgroup( "J3.2", 2 ), AutomorphismGroup( AtlasGroup( "L2(16)" ) ), PGammaL( 2, 16 ), PSigmaL( 2, 16 ), PrimitiveGroup( 17, 8 ), PrimitiveGroup( 68, 3 ), PrimitiveGroup( 120, 5 ), PrimitiveGroup( 136, 5 ), SigmaL( 2, 16 ), TransitiveGroup( 17, 8 )

Stored class fusions from this table:

(3 × L₂(16):2).2, J₃.2, O₈⁻(2).2, S₄(4).2

Stored class fusions to this table:

(3 × L₂(16):2).2, L₂(16), L₂(16).2

File created automatically by GAP on 20-May-2025.