Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.Suz

Name:

3.Suz

Group order:

1345036492800 = 2¹³ ⋅ 3⁸ ⋅ 5² ⋅ 7 ⋅ 11 ⋅ 13

Number of classes:

119

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13]

Maximal subgroups:

	Order	Index	Structure	Name
1	754790400	1782	3 × G2(4)	3xG2(4)
2	58786560	22880	32.U4(3).23'	3^2.U4(3).2_3'
3	41057280	32760	3 × U5(2)	3xU5(2)
4	9953280	135135	3 × 21+6−.U4(2)	3x2^(1+6)_-.U4(2)
5	5773680	232960	36.M11	3^6.M11
6	3628800	370656	3 × J2.2	3xJ2.2
7	3317760	405405	3 × 24+6.3A6	3x2^(4+6).3A6
8	1451520	926640	(A4 × 3.L3(4)).2	(A4x3.L3(4)).2
9	1105920	1216215	3 × 22+8:(A5 × S3)	3x2^(2+8):(A5xS3)
10	570240	2358720	3 × M12.2	3xM12.2
11	419904	3203200	3.32+4:2(A4 × 22).2	3.3^(2+4):2(A4x2^2).2
12	129600	10378368	(3.A6 × A5):2	(3.A6xA5):2
13	77760	17297280	(31+2:4 × A6).2	(3^(1+2):4xA6).2
14	33696	39916800	3 × L3(3).2	3xL3(3).2
15	33696	39916800	3 × L3(3).2	3xL3(3).2
16	23400	57480192	3 × L2(25)	3xL2(25)
17	7560	177914880	3.A7	3.A7

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	73728	18243225	3 × SuzN2	3xSuzN2
3	104976	12812800	3.35:(32:SD16)	3.3^5:(3^2:SD16)
5	1800	747242496	3 × 52:(4 × S3)	3x5^2:(4xS3)
7	1512	889574400	3 × (A4 × 7:3):2	3x(A4x7:3):2
11	330	4075868160	3 × 11:10	3x11:10
13	234	5748019200	3 × 13:6	3x13:6

Available Brauer tables:

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

Atlas representations:

10 available

Group constructions in GAP:

AtlasGroup( "3.Suz" ), AtlasSubgroup( "3.Suz.2", 1 )

Stored class fusions from this table:

3.Suz.2, Suz

Stored class fusions to this table:

3.3⁵:(3²:SD₁₆), 3.3²⁺⁴:2(A₄ × 2²).2, 3.A₇, 3².U₄(3).2₃', 3⁶.M₁₁, 3 × 2¹⁺⁶₋.2⁴.A₅, 3 × 2¹⁺⁶₋.U₄(2), 3 × 2²⁺⁸.2².(3 × S₃), 3 × 2²⁺⁸:(A₅ × S₃), 3 × 2⁴⁺⁶.2².(3 × S₃), 3 × 2⁴⁺⁶.3A₆, 3 × 5²:(4 × S₃), 3 × 11:10, 3 × 13:6, 3 × (A₄ × 7:3):2, 3 × (A₅ × D₁₀).2, 3 × G₂(4), 3 × J₂.2, 3 × L₂(25), 3 × L₃(3).2, 3 × M₁₂.2, 3 × SuzN2, 3 × U₅(2), 6.Suz, (3.A₆ × A₅):2, (3¹⁺²:4 × A₆).2, (A₄ × 3.L₃(4)).2, (D₁₀ × 3.A₆).2₃, D₈ × 3¹⁺²₊:Q₈, S₄ × 3¹⁺²₊:Q₈

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