Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.U₆(2)

Name:

2.U6(2)

Group order:

18393661440 = 2¹⁶ ⋅ 3⁶ ⋅ 5 ⋅ 7 ⋅ 11

Number of classes:

77

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	27371520	672	2 × U5(2)	2xU5(2)
2	26542080	693	2.21+8+:U4(2)	2.2^(1+8)_+:U4(2)
3	20643840	891	210:L3(4)	2.U6(2)M3
4	13063680	1408	2 × U4(3).22	2xU4(3).2_2
5	13063680	1408	2.U4(3).22	2.U4(3).2_2
6	13063680	1408	2.U4(3).22	2.U6(2)M6
7	2949120	6237	2.24+8:(S3 × A5)	2.2^(4+8):(S3xA5)
8	2903040	6336	2 × S6(2)	2xS6(2)
9	2903040	6336	2 × S6(2)	2.U6(2)M9
10	2903040	6336	2 × S6(2)	2.U6(2)M10
11	887040	20736	2 × M22	2xM22
12	887040	20736	2.M22	2.M22
13	887040	20736	2.M22	2.U6(2)M13
14	311040	59136	2 × S3 × U4(2)	2xS3xU4(2)
15	186624	98560	2.(31+4.[27.3])	2.(3^(1+4).[2^7.3])
16	80640	228096	2.L3(4).21	2.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:

20 available

Group constructions in GAP:

AtlasGroup( "2.U6(2)" ), AtlasStabilizer( "Fi22", "F22G1-p3510B0" ), AtlasSubgroup( "Fi22", 1 )

Stored class fusions from this table:

2.U₆(2).2, Fi₂₂, U₆(2)

Stored class fusions to this table:

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

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