Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.U₆(2)

Name:

3.U6(2)

Group order:

27590492160 = 2¹⁵ ⋅ 3⁷ ⋅ 5 ⋅ 7 ⋅ 11

Number of classes:

132

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	41057280	672	3 × U5(2)	3xU5(2)
2	39813120	693	3 × 21+8+:U4(2)	3x2^(1+8)_+:U4(2)
3	30965760	891	29:3.L3(4)	3.U6(2)M3
4	19595520	1408	31.U4(3).22	3_1.U4(3).2_2
5	19595520	1408	31.U4(3).22	3.U6(2)M5
6	19595520	1408	31.U4(3).22	3.U6(2)M6
7	4423680	6237	3 × 24+8:(S3 × A5)	3x2^(4+8):(S3xA5)
8	4354560	6336	3 × S6(2)	3xS6(2)
9	4354560	6336	3 × S6(2)	3.U6(2)M9
10	4354560	6336	3 × S6(2)	3.U6(2)M10
11	1330560	20736	3.M22	3.M22
12	1330560	20736	3.M22	3.U6(2)M12
13	1330560	20736	3.M22	3.U6(2)M13
14	466560	59136	3 × S3 × U4(2)	3xS3xU4(2)
15	279936	98560	3.(31+4.[27.3])	3.(3^(1+4).[2^7.3])
16	120960	228096	3.L3(4).21	3.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:

26 available

Group constructions in GAP:

AtlasGroup( "3.U6(2)" )

Stored class fusions from this table:

3.U₆(2).2, 3.U₆(2).3, U₆(2)

Stored class fusions to this table:

3.(3¹⁺⁴.[2⁷.3]), 3.L₃(4).2₁, 3.M₂₂, 2⁹:3.L₃(4), 3₁.U₄(3).2₂, 3₁.U₄(3).2₂, 3 × S₆(2), 3 × S₆(2), 3.M₂₂, 3.M₂₂, 3₁.U₄(3).2₂, 3 × 2¹⁺⁸₊:U₄(2), 3 × 2⁴⁺⁸:(S₃ × A₅), 3 × S₃ × U₄(2), 3 × S₆(2), 3 × U₅(2), 6.U₆(2), (2² × 3).U₆(2)

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