Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₂(27).3

Name:

L2(27).3

Group order:

29484 = 2² ⋅ 3⁴ ⋅ 7 ⋅ 13

Number of classes:

16

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7,13], constructions: PSigmaL(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:

AtlasSubgroup( "S6(3)", 6 ), PSigmaL( 2, 27 ), PrimitiveGroup( 28, 11 ), PrimitiveGroup( 351, 3 ), PrimitiveGroup( 378, 3 ), PrimitiveGroup( 819, 3 ), TransitiveGroup( 28, 485 )

Stored class fusions from this table:

L₂(27).6, S₆(3)

Stored class fusions to this table:

2.L₂(27).3, L₂(27)

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