Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for Ru

Name:

Ru

Group order:

145926144000 = 2¹⁴ ⋅ 3³ ⋅ 5³ ⋅ 7 ⋅ 13 ⋅ 29

Number of classes:

36

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,13,29]

Maximal subgroups:

	Order	Index	Structure	Name
1	35942400	4060	2F4(2)'.2	2F4(2)'.2
2	774144	188500	(26:U3(3)):2	2^6:u3(3):2
3	349440	417600	(22 × Sz(8)):3	(2^2xSz(8)):3
4	344064	424125	23+8:L3(2)	2^3+8:L3(2)
5	252000	579072	U3(5).2	U3(5).2
6	245760	593775	2.24+6:S5	2.2^4+6:S5
7	31200	4677120	L2(25).22	L2(25).2^2
8	20160	7238400	A8	A8
9	12180	11980800	L2(29)	L2(29)
10	12000	12160512	52:4S5	5^2:4s5
11	4320	33779200	3.A6.22	3.A6.2^2
12	4000	36481536	51+2:(25)	5^1+2:(2^5)
13	2184	66816000	L2(13).2	L2(13).2
14	1440	101337600	A6.22	A6.2^2
15	1200	121605120	5:4 × A5	5:4xa5

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	16384	8906625	RuN2	RuN2
3	432	337792000	31+2:SD16	3^(1+2):SD16
5	4000	36481536	51+2:(25)	5^1+2:(2^5)
7	168	868608000	(22 × D14):3	(2^2xD14):3
13	624	233856000	(22 × 13:4):3	(2^2x13:4):3
29	406	359424000	29:14	29:14

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
7	dec. matrix (PDF)
13	dec. matrix (PDF)
29	dec. matrix (PDF)

Atlas representations:

22 available

Group constructions in GAP:

AtlasGroup( "Ru" ), PrimitiveGroup( 4060, 1 )

Stored class fusions to this table:

2.2⁴⁺⁶:S₅, 2.2²⁺².2^1+1+2+2:S₄, 2.2⁴⁺⁶.2.S₃, 2.Ru, ²F₄(2)', ²F₄(2)'.2, 2³⁺⁸:L₃(2), 2⁶:u₃(3), (2⁶:U₃(3)):2, 2²⁺¹⁺².2¹⁺¹⁺².2².S₄, 3.A₆.2², 3².2.S₄, 3¹⁺²:SD₁₆, 5:4 × A₅, 5¹⁺²:(2⁵), 5²:4S₅, 29:14, (2² × 13:4):3, (2² × D₁₄):3, (2² × Sz(8)):3, A₆.2², A₈, L₂(13).2, L₂(25).2², L₂(29), RuN2, U₃(5).2

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