Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2².U₆(2)

Name:

2^2.U6(2)

Group order:

36787322880 = 2¹⁷ ⋅ 3⁶ ⋅ 5 ⋅ 7 ⋅ 11

Number of classes:

139

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11]

Some maximal subgroups:

	Order	Index	Structure	Name
1	54743040	672	22 × U5(2)	2^2xU5(2)
2	53084160	693	22.21+8+:U4(2)	2^2.2^(1+8)_+:U4(2)
3	41287680	891	210:2.L3(4)	2^2.U6(2)M3
4	26127360	1408	2 × 2.U4(3).22	2x2.U4(3).2_2
5	26127360	1408	2 × 2.U4(3).22	2^2.U6(2)M5
6	26127360	1408	2 × 2.U4(3).22	2^2.U6(2)M6
7	5898240	6237	22.24+8:(S3 × A5)	2^2.2^(4+8):(S3xA5)
8	5806080	6336	22 × S6(2)	2^2xS6(2)
9	5806080	6336	22 × S6(2)	2^2.U6(2)M9
10	5806080	6336	22 × S6(2)	2^2.U6(2)M10
11	1774080	20736	2 × 2.M22	2x2.M22
12	1774080	20736	2 × 2.M22	2^2.U6(2)M12
13	1774080	20736	2 × 2.M22	2^2.U6(2)M13
14	622080	59136	22 × S3 × U4(2)	2^2xS3xU4(2)

Atlas representations:

1 available

Group constructions in GAP:

AtlasGroup( "2^2.U6(2)" ), AtlasSubgroup( "2.Fi22", 1 )

Stored class fusions from this table:

2.Fi₂₂, 2.U₆(2), 2².U₆(2).2, 2².U₆(2).3, U₆(2)

Stored class fusions to this table:

2².2¹⁺⁸₊:U₄(2), 2².2⁴⁺⁸:(S₃ × A₅), 2¹⁰:2.L₃(4), 2 × 2.U₄(3).2₂, 2 × 2.U₄(3).2₂, 2² × S₆(2), 2² × S₆(2), 2 × 2.M₂₂, 2 × 2.M₂₂, 2² × S₃ × U₄(2), 2² × S₆(2), 2² × U₅(2), 2 × 2.M₂₂, 2 × 2.U₄(3).2₂, (2² × 3).U₆(2)

File created automatically by GAP on 6-May-2025.