Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L₃(4).D₁₂

Name:

L3(4).D12

Group order:

241920 = 2⁸ ⋅ 3³ ⋅ 5 ⋅ 7

Number of classes:

28

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7], constructions: Aut(L3(4))

Maximal subgroups:

	Order	Index	Structure	Name
1	120960	2	L3(4).3.23	L3(4).3.2_3
2	120960	2	L3(4).6	L3(4).6
3	120960	2	L3(4).3.22	L3(4).3.2_2
4	80640	3	L3(4).22	L3(4).2^2
5	2304	105	22+4:(S3 × S3)	2^(2+4):(S3xS3)
6	864	280	2 × 32.2.S4	2x3^2.2.S4
7	720	336	S5 × S3	S5xS3
8	252	960	S3 × 7:6	S3x7:6

Group constructions in GAP:

AtlasSubgroup( "Co3", 10 ), AutomorphismGroup( AtlasGroup( "L3(4)" ) ), PrimitiveGroup( 105, 6 ), PrimitiveGroup( 280, 12 ), PrimitiveGroup( 336, 6 ), PrimitiveGroup( 960, 5 )

Stored class fusions from this table:

Co₃

Stored class fusions to this table:

2².L₃(4).D₁₂, 2²⁺⁴:(S₃ × S₃), 2 × 3².2.S₄, L₃(4).2², L₃(4).3.2₂, L₃(4).3.2₃, L₃(4).6, S₃ × 7:6, S₅ × S₃

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