Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₃(5)

Name:

L3(5)

Group order:

372000 = 2⁵ ⋅ 3 ⋅ 5³ ⋅ 31

Number of classes:

30

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,31]

Maximal subgroups:

	Order	Index	Structure	Name
1	12000	31	52:4S5	5^2:4s5
2	12000	31	52:4S5	5^2:4s5
3	120	3100	S5	A5.2
4	96	3875	42:S3	4^2:s3
5	93	4000	31:3	31:3

Available Brauer tables:

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

Atlas representations:

24 available

Group constructions in GAP:

AtlasGroup( "L3(5)" ), AtlasSubgroup( "L3(5).2", 1 ), PSL( 3, 5 ), PerfectGroup( 372000, 1 ), PrimitiveGroup( 31, 9 ), PrimitiveGroup( 3100, 1 ), PrimitiveGroup( 3875, 1 ), PrimitiveGroup( 4000, 1 )

Stored class fusions from this table:

L₃(5).2

Stored class fusions to this table:

4²:S₃, 5²:4S₅, 5³.L₃(5), 5³⁺³.(2 × L₃(5)), 31:3, S₅

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