Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.B

Name:

2.B

Group order:

8309562962452852382355161088000000 = 2⁴² ⋅ 3¹³ ⋅ 5⁶ ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 19 ⋅ 23 ⋅ 31 ⋅ 47

Number of classes:

247

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r.

Some maximal subgroups:

	Order	Index	Structure	Name
1	612259837470198831513600	13571955000	22.2E6(2).2	2^2.2E6(2).2
3	8178940946586009600	1015970529280000	2 × Fi23	2xFi23
5	181491887775744000	45784762417152000	2 × Th	2xTh
9	1549482039705600	5362800438804480000	(S3 × 2.Fi22).2	(S3x2.Fi22).2
12	237704631091200	34957513971466240000	(2 × O8+(3)).S4	(2xO8+(3)).S4
14	3762339840	2208615732717237043200000	2.(32:D8 × U4(3).22).2	2.(3^2:D8xU4(3).2^2).2
16	1725235200	4816481232502590013440000	(GL(2, 3) × 2F4(2)').2	(GL(2,3)x2F4(2)').2
23	576000	14426324587591757608255488000	(52:4S4 × 2.A5):2	(5^2:4S4x2.A5):2
26	15840	524593621366973003936563200000	2 × M11	2xM11
30	2162	3843461129719173164826624000000	2 × 47:23	2x47:23

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
5	500000	16619125924905704764710322176	2 × BN5	2xBN5
7	56448	147207393750936302125056000000	2.BN7	2.BN7

Available Brauer tables:

p
11	dec. matrix (PDF)
17	dec. matrix (PDF)
23	dec. matrix (PDF)

Stored class fusions from this table:

B, M

Stored class fusions to this table:

2.(3²:D₈ × U₄(3).2²).2, 2.BN7, 2².²E₆(2).2, 2 × 47:23, 2 × BN5, 2 × Fi₂₃, 2 × M₁₁, 2 × Th, (2 × O₈⁺(3)).S₄, (5²:4S₄ × 2.A₅):2, (GL(2, 3) × ²F₄(2)').2, (QD₁₆ × ²F₄(2)').2, (S₃ × 2.Fi₂₂).2

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