Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₂(27).6

Name:

L2(27).6

Group order:

58968 = 2³ ⋅ 3⁴ ⋅ 7 ⋅ 13

Number of classes:

23

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7,13], constructions: Aut(L2(27)), PGammaL(2,27)

Available Brauer tables:

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

Group constructions in GAP:

AutomorphismGroup( AtlasGroup( "L2(27)" ) ), PGammaL( 2, 27 ), PrimitiveGroup( 28, 12 ), PrimitiveGroup( 351, 4 ), PrimitiveGroup( 378, 4 ), PrimitiveGroup( 819, 4 ), TransitiveGroup( 28, 616 )

Stored class fusions from this table:

S₆(3).2

Stored class fusions to this table:

2.L₂(27).6, Isoclinic(2.L₂(27).6), L₂(27), L₂(27).2, L₂(27).3

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