Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₃(8).2

Name:

L3(8).2

Group order:

32965632 = 2¹⁰ ⋅ 3² ⋅ 7² ⋅ 73

Number of classes:

51

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7,73], constructions: SL(3,8) extended by transpose-inverse

Some maximal subgroups:

	Order	Index	Structure	Name
1	16482816	2	L3(8)	L3(8)
6	336	98112	L3(2).2	L3(2).2

Available Brauer tables:

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

Atlas representations:

26 available

Group constructions in GAP:

AtlasGroup( "L3(8).2" ), PrimitiveGroup( 657, 1 )

Stored class fusions from this table:

L₃(8).6

Stored class fusions to this table:

L₃(2).2, L₃(8)

File created automatically by GAP on 13-Mar-2024.