Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.Suz.2

Name:

3.Suz.2

Group order:

2690072985600 = 2¹⁴ ⋅ 3⁸ ⋅ 5² ⋅ 7 ⋅ 11 ⋅ 13

Number of classes:

106

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	1345036492800	2	3.Suz	3.Suz
2	1509580800	1782	(3 × G2(4)).2	(3xG2(4)).2
3	117573120	22880	32.U4(3).(22)133	3^2.U4(3).(2^2)_{133}
4	82114560	32760	(3 × U5(2)).2	(3xU5(2)).2
5	19906560	135135	(3 × 21+6−.U4(2)).2	(3x2^(1+6)_-.U4(2)).2
6	11547360	232960	36:(M11 × 2)	3^6:(M11x2)
7	7257600	370656	S3 × J2.2	S3xJ2.2
8	6635520	405405	(3 × 24+6:3A6).2	(3x2^(4+6):3A6).2
9	2903040	926640	(A4 × 3.L3(4).23).2	(A4x3.L3(4).2_3).2
10	2211840	1216215	(3 × 22+8:(A5 × S3)).2	(3x2^(2+8):(A5xS3)).2
11	1140480	2358720	S3 × M12.2	S3xM12.2
12	839808	3203200	3.32+4:2(S4 × D8)	3.3^(2+4):2(S4xD8)
13	259200	10378368	(3.A6.22 × A5):2	(3.A6.2_2xA5):2
14	155520	17297280	(31+2:8 × A6).2	(3^(1+2):8xA6).2
15	46800	57480192	(3 × L2(25)).22	(3xL2(25)).2_2
16	15120	177914880	3.A7.2	3.A7.2

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:

8 available

Group constructions in GAP:

AtlasGroup( "3.Suz.2" ), AtlasStabilizer( "Co1", "Co1G1-p1545600B0" ), AtlasSubgroup( "Co1", 2 )

Stored class fusions from this table:

Co₁, Suz.2

Stored class fusions to this table:

3.3²⁺⁴:2(S₄ × D₈), 3.A₇.2, 3.Suz, 3².U₄(3).(2²)₁₃₃, 3⁶:(M₁₁ × 2), 6.Suz.2, (3.A₆.2₂ × A₅):2, (3¹⁺²:8 × A₆).2, (3 × 2¹⁺⁶₋.U₄(2)).2, (3 × 2²⁺⁸:(A₅ × S₃)).2, (3 × 2⁴⁺⁶:3A₆).2, (3 × 13:6).2, (3 × G₂(4)).2, (3 × L₂(25)).2₂, (3 × U₅(2)).2, (A₄ × 3.L₃(4).2₃).2, Isoclinic(6.Suz.2), S₃ × J₂.2, S₃ × M₁₂.2

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