Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for Ly

Name:

Ly

Group order:

51765179004000000 = 2⁸ ⋅ 3⁷ ⋅ 5⁶ ⋅ 7 ⋅ 11 ⋅ 31 ⋅ 37 ⋅ 67

Number of classes:

53

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,31,37,67]

Maximal subgroups:

	Order	Index	Structure	Name
1	5859000000	8835156	G2(5)	G2(5)
2	5388768000	9606125	3.McL.2	3.McL.2
3	46500000	1113229656	53.L3(5)	5^3.psl(3,5)
4	39916800	1296826875	2.A11	2.A11
5	9000000	5751686556	51+4:4S6	5^(1+4):4S6
6	3849120	13448575000	35:(M11 × 2)	LyM6
7	699840	73967162500	32+4:2A5.D8	3^(2+4):2A5.D8
8	1474	35118846000000	67:22	67:22
9	666	77725494000000	37:18	37:18

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	256	202207730484375	LyN2	LyN2
3	69984	739671625000	LyN3	LyN3
5	250000	207060716016	LyN5	LyN5
7	1008	51354344250000	(SL2(3) × 7:3).2	(SL2(3)x7:3).2
11	330	156864178800000	11:5 × S3	11:5xS3
31	186	278307414000000	31:6	31:6
37	666	77725494000000	37:18	37:18
67	1474	35118846000000	67:22	67:22

Available Brauer tables:

p
7	dec. matrix (PDF)
11	dec. matrix (PDF)
31	dec. matrix (PDF)
37	dec. matrix (PDF)
67	dec. matrix (PDF)

Atlas representations:

9 available

Group constructions in GAP:

AtlasGroup( "Ly" )

Stored class fusions to this table:

2.2⁴.2.S₃, 2.(A₇ × A₄).2, 2.(D₈ × 2²).S₃, 2.(S₄ × S₅), 2.A₁₁, 2.D₈.S₅, 2³.L₃(2), 2¹⁺⁴.S₃², 2¹⁺⁴.S₅, 2²⁺⁴.(S₃ × 2), 3.2⁴:A₇, 3.2²⁺⁴:(S₃ × S₃), 3.M^cL.2, 3⁵:M₁₁, 3²⁺⁴:2A₅.D₈, 3 × M₂₂C2A, 5².5.5².4S₅, 5³.L₃(5), 5¹⁺⁴:4.3²:D₈, 5¹⁺⁴:4S₆, 11:5 × S₃, 31:6, 37:18, 67:22, (2¹⁺⁴ × 3).GO⁺(4, 2), (3 × M^cLN2).2, (4² × 2)S₄, (SL₂(3) × 7:3).2, G₂(5), 3⁵:(M₁₁ × 2), LyN2, LyN3, LyN5

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