Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2.Suz

Name:

2.Suz

Group order:

896690995200 = 2¹⁴ ⋅ 3⁷ ⋅ 5² ⋅ 7 ⋅ 11 ⋅ 13

Number of classes:

76

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	503193600	1782	2.G2(4)	2.G2(4)
2	39191040	22880	Isoclinic(62.U4(3).23')	Isoclinic(6_2.U4(3).2_3')
3	27371520	32760	2 × U5(2)	2xU5(2)
4	6635520	135135	2.21+6−.U4(2)	2.SuzM4
5	3849120	232960	2 × 35:M11	2x3^5:M11
6	2419200	370656	2.J2.2	2.J2.2
7	2211840	405405	(2.24.26):3A6	2.SuzM7
8	967680	926640	2.(A4 × L3(4)).2	2.(A4xL3(4)).2
9	737280	1216215	2.(22+8:(A5 × S3))	2.SuzM9
10	380160	2358720	Isoclinic(2.M12.2)	Isoclinic(2.M12.2)
11	279936	3203200	2.(32+4:2(A4 × 22).2)	2.SuzM11
12	86400	10378368	(A6 × 2.A5).2	(A6x2.A5).2
13	51840	17297280	(32:4 × 2.A6).2	(3^2:4x2.A6).2
14	22464	39916800	(2 × L3(3)).2	(2xL3(3)).2
15	22464	39916800	(2 × L3(3)).2	(2xL3(3)).2
16	15600	57480192	2.L2(25)	2.L2(25)
17	5040	177914880	2.A7	2.A7

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	49152	18243225	2.SuzN2	2.SuzN2
3	69984	12812800	2 × 35:(32:SD16)	2x3^5:(3^2:SD16)
5	1200	747242496	2.J2.2N5	2.J2.2N5
7	1008	889574400	(SL(2, 3) × 7:3).2	(SL(2,3)x7:3).2
11	220	4075868160	11:20	11:20
13	156	5748019200	(2 × 13).6	(2x13).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:

4 available

Group constructions in GAP:

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

Stored class fusions from this table:

2.Suz.2, Suz

Stored class fusions to this table:

2.(A₄ × L₃(4)).2, 2.(D₈ × 3²:Q₈), 2.A₇, 2.G₂(4), 2.J₂.2, 2.J₂.2N5, 2.L₂(25), 2.2¹⁺⁶₋.U₄(2), (2.2⁴.2⁶):3A₆, 2.(2²⁺⁸:(A₅ × S₃)), 2.(3²⁺⁴:2(A₄ × 2²).2), 2.SuzN2, 2 × 3⁵:(3²:SD₁₆), 2 × 3⁵:M₁₁, 2 × U₅(2), 6.Suz, 11:20, (2.A₅ × D₁₀).2, (2.D₁₀ × A₆).2, (2 × 13).6, (2 × L₃(3)).2, (3²:4 × 2.A₆).2, (A₆ × 2.A₅).2, (SL(2, 3) × 7:3).2, Isoclinic(2.M₁₂.2), Isoclinic(6₂.U₄(3).2₃')

File created automatically by GAP on 20-May-2025.