Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.Ru

Name:

2.Ru

Group order:

291852288000 = 2¹⁵ ⋅ 3³ ⋅ 5³ ⋅ 7 ⋅ 13 ⋅ 29

Number of classes:

61

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	71884800	4060	(2 × 2F4(2)').2	2.RuM1
2	1548288	188500	2.26:u3(3):2	2.2^6:u3(3):2
3	698880	417600	2.(22 × Sz(8)):3	2.(2^2xSz(8)):3
4	688128	424125	2.23+8:L3(2)	2.2^3+8:L3(2)
5	504000	579072	2 × U3(5).2	2xU3(5).2
6	491520	593775	2.2.24+6:S5	2.2.2^4+6:S5
7	62400	4677120	L2(25).(2 × 4)	L2(25).(2x4)
8	40320	7238400	2 × A8	2xA8
9	24360	11980800	2.L2(29)	2.L2(29)
10	24000	12160512	2 × 52:4S5	2x5^2:4S5
11	8640	33779200	3.A6.(2 × 4)	3.A6.(2x4)
12	8000	36481536	51+2:(4 × 4):4	5^(1+2):(4x4):4
13	4368	66816000	Isoclinic(L2(13).2 × 2)	Isoclinic(L2(13).2x2)
14	2880	101337600	A6.D8	A6.D8
15	2400	121605120	5:4 × 2.A5	5:4x2.A5

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	32768	8906625	2.RuN2	2.RuN2
3	864	337792000	(2 × 31+2+:8):2	(2x3^(1+2)_+:8):2
5	8000	36481536	51+2:(4 × 4):4	5^(1+2):(4x4):4
7	336	868608000	(Q8 × D14):3	(Q8xD14):3
13	1248	233856000	(Q8 × 13:4):3	(Q8x13:4):3
29	812	359424000	(2 × 29).14	(2x29).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:

9 available

Group constructions in GAP:

AtlasGroup( "2.Ru" )

Stored class fusions from this table:

Ru

Stored class fusions to this table:

2.2.2⁴⁺⁶:S₅, 2.2³⁺⁸:L₃(2), 2.2⁶:u₃(3):2, 2.(2² × Sz(8)):3, 2.L₂(29), (2 × ²F₄(2)').2, 2.RuN2, 2 × 3².2.S₄, 2 × 5²:4S₅, 2 × A₈, 2 × U₃(5).2, 3.A₆.(2 × 4), 5:4 × 2.A₅, 5¹⁺²:(4 × 4):4, (2 × 3¹⁺²₊:8):2, (2 × 29).14, (Q₈ × 13:4):3, (Q₈ × D₁₄):3, A₆.D₈, Isoclinic(L₂(13).2 × 2), L₂(25).(2 × 4)

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