Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₂(16)

Name:

L2(16)

Group order:

4080 = 2⁴ ⋅ 3 ⋅ 5 ⋅ 17

Number of classes:

17

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,17]

Available Brauer tables:

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

Atlas representations:

15 available

Group constructions in GAP:

AtlasGroup( "L2(16)" ), POmega( -1, 4, 4 ), POmega( 3, 16 ), PSL( 2, 16 ), PSU( 2, 16 ), PSp( 2, 16 ), PerfectGroup( 4080, 1 ), PrimitiveGroup( 17, 6 ), PrimitiveGroup( 68, 1 ), PrimitiveGroup( 120, 3 ), PrimitiveGroup( 136, 3 ), TransitiveGroup( 17, 6 )

Stored class fusions from this table:

L₂(16).2, L₂(16).4

Stored class fusions to this table:

A₅

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