Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₃(3)

Name:

L3(3)

Group order:

5616 = 2⁴ ⋅ 3³ ⋅ 13

Number of classes:

12

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	432	13	32.2.S4	3^2.2.S4
2	432	13	32.2.S4	3^2.2.S4
3	39	144	13:3	13:3
4	24	234	S4	s4

Available Brauer tables:

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

Atlas representations:

31 available

Group constructions in GAP:

AtlasGroup( "L3(3)" ), AtlasSubgroup( "Th", 13 ), PSL( 3, 3 ), PerfectGroup( 5616, 1 ), PrimitiveGroup( 13, 7 ), PrimitiveGroup( 144, 1 ), PrimitiveGroup( 234, 1 ), TransitiveGroup( 13, 7 ), TransitiveGroup( 26, 39 )

Stored class fusions from this table:

²F₄(2)', 3⁶:L₃(3), A₁₃, B, L₃(3).2, L₃(9), Th

Stored class fusions to this table:

3².2.S₄, 3³:L₃(3), 3⁶:L₃(3), 3^3+2+6+6:(L₃(3) × SD₁₆), 13:3, S₄

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