Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 6.U₆(2)

Name:

6.U6(2)

Group order:

55180984320 = 2¹⁶ ⋅ 3⁷ ⋅ 5 ⋅ 7 ⋅ 11

Number of classes:

219

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	82114560	672	6 × U5(2)	6xU5(2)
2	79626240	693	3 × 2.21+8+:U4(2)	3x2.2^(1+8)_+:U4(2)
3	61931520	891	210:3.L3(4)	6.U6(2)M3
4	39191040	1408	2 × 31.U4(3).22	2x3_1.U4(3).2_2
5	39191040	1408	61.U4(3).22	6_1.U4(3).2_2
6	39191040	1408	61.U4(3).22	6.U6(2)M6
7	8847360	6237	3 × 2.24+8:(S3 × A5)	3x2.2^(4+8):(S3xA5)
8	8709120	6336	6 × S6(2)	6xS6(2)
9	8709120	6336	6 × S6(2)	6.U6(2)M9
10	8709120	6336	6 × S6(2)	6.U6(2)M10
11	2661120	20736	2 × 3.M22	2x3.M22
12	2661120	20736	6.M22	6.M22
13	2661120	20736	6.M22	6.U6(2)M13
14	933120	59136	6 × S3 × U4(2)	6xS3xU4(2)
15	559872	98560	6.(31+4.[27.3])	6.(3^(1+4).[2^7.3])
16	241920	228096	6.L3(4).21	6.L3(4).2_1

Available Brauer tables:

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

Atlas representations:

8 available

Group constructions in GAP:

AtlasGroup( "6.U6(2)" ), AtlasSubgroup( "3.Fi22", 1 )

Stored class fusions from this table:

2.U₆(2), 3.Fi₂₂, 3.U₆(2), 6.U₆(2).2, U₆(2)

Stored class fusions to this table:

2 × 3.M₂₂, 2 × 3₁.U₄(3).2₂, 3 × 2.2¹⁺⁸₊:U₄(2), 3 × 2.2⁴⁺⁸:(S₃ × A₅), 6.(3¹⁺⁴.[2⁷.3]), 6.L₃(4).2₁, 6.M₂₂, 2¹⁰:3.L₃(4), 6₁.U₄(3).2₂, 6 × S₆(2), 6 × S₆(2), 6.M₂₂, 6₁.U₄(3).2₂, 6 × S₃ × U₄(2), 6 × S₆(2), 6 × U₅(2), (2² × 3).U₆(2)

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