Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.L₃(7)

Name:

3.L3(7)

Group order:

5630688 = 2⁵ ⋅ 3³ ⋅ 7³ ⋅ 19

Number of classes:

64

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7,19], constructions: SL(3,7)

Maximal subgroups:

	Order	Index	Structure	Name
1	98784	57	3 × 72:2.L2(7).2	3x7^2:2.L2(7).2
2	98784	57	3 × 72:2.L2(7).2	3.L3(7)M2
3	1008	5586	3 × L3(2).2	3xL3(2).2
4	1008	5586	3 × L3(2).2	3.L3(7)M4
5	1008	5586	3 × L3(2).2	3.L3(7)M5
6	216	26068	3.(A4 × 3):2	3.(A4x3):2
7	216	26068	31+2+:Q8	3^(1+2)_+:Q8
8	171	32928	3 × 19:3	3x19:3

Available Brauer tables:

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

Atlas representations:

1 available

Group constructions in GAP:

AtlasGroup( "3.L3(7)" ), SL( 3, 7 )

Stored class fusions from this table:

3.L₃(7).2, 3.L₃(7).3, L₃(7)

Stored class fusions to this table:

3.(A₄ × 3):2, 3 × 7²:2.L₂(7).2, 3 × L₃(2).2, 3 × L₃(2).2, 3¹⁺²₊:Q₈, 3 × 7²:2.L₂(7).2, 3 × 19:3, 3 × L₃(2).2

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