Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for Suz

Name:

Suz

Group order:

448345497600 = 2¹³ ⋅ 3⁷ ⋅ 5² ⋅ 7 ⋅ 11 ⋅ 13

Number of classes:

43

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	251596800	1782	G2(4)	G2(4)
2	19595520	22880	32.U4(3).23'	3_2.U4(3).2_3'
3	13685760	32760	U5(2)	U5(2)
4	3317760	135135	21+6−.U4(2)	2^1+6.u4q2
5	1924560	232960	35:M11	3^5:M11
6	1209600	370656	J2.2	J2.2
7	1105920	405405	24+6:3A6	2^4+6:3a6
8	483840	926640	(A4 × L3(4)):21	(a4xpsl(3,4)):2
9	368640	1216215	22+8:(A5 × S3)	2^2+8(a5xs3)
10	190080	2358720	M12.2	M12.2
11	139968	3203200	32+4:2(A4 × 22).2	3^2+4:2(2^2xa4)2
12	43200	10378368	(A6 × A5).2	(a6xa5).2
13	25920	17297280	(32:4 × A6).2	(3^2:4xa6).2
14	11232	39916800	L3(3).2	L3(3).2
15	11232	39916800	L3(3).2	L3(3).2
16	7800	57480192	L2(25)	L2(25)
17	2520	177914880	A7	A7

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	24576	18243225	SuzN2	SuzN2
3	34992	12812800	35:(32:SD16)	3^5:(3^2:SD16)
5	600	747242496	52:(4 × S3)	5^2:(4xS3)
7	504	889574400	(A4 × 7:3):2	(A4x7:3):2
11	110	4075868160	11:10	11:10
13	78	5748019200	13:6	13:6

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:

31 available

Group constructions in GAP:

AtlasGroup( "Suz" ), AtlasSubgroup( "Suz.2", 1 ), PrimitiveGroup( 1782, 1 )

Stored class fusions from this table:

Suz.2

Stored class fusions to this table:

2.Suz, 2¹⁺⁶₋.U₄(2), 2²⁺⁸:(A₅ × S₃), 2⁴⁺⁶:3A₆, 2¹⁺⁶₋.2⁴.A₅, 2²⁺⁸.2².(3 × S₃), 2⁴⁺⁶.2².(3 × S₃), 3.Suz, 3²⁺⁴:2(A₄ × 2²).2, 3⁵:(3²:SD₁₆), 3⁵:M₁₁, 3₂.U₄(3).2₃', 5²:(4 × S₃), 6.Suz, 11:10, 13:6, (3²:4 × A₆).2, (A₄ × 7:3):2, (A₅ × D₁₀).2, (D₁₀ × A₆).2, (A₄ × L₃(4)):2₁, (A₆ × A₅).2, A₇, D₈ × 3²:Q₈, G₂(4), J₂.2, L₂(25), L₃(3).2, M₁₂.2, S₄ × 3²:Q₈, SuzN2, U₅(2)

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