Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U₄(3).(2²)₁₃₃

Name:

U4(3).(2^2)_{133}

Group order:

13063680 = 2⁹ ⋅ 3⁶ ⋅ 5 ⋅ 7

Number of classes:

44

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7], computed from the tables of U4(3), U4(3).2_1, U4(3).2_3, U4(3).2_3'

Maximal subgroups:

	Order	Index	Structure	Name
1	6531840	2	U4(3).21	U4(3).2_1
2	6531840	2	U4(3).23	U4(3).2_3
3	6531840	2	U4(3).23'	U4(3).2_3'
4	116640	112	34:(M10 × 2)	3^4:(M10x2)
5	80640	162	L3(4).22	L3(4).2^2
6	80640	162	L3(4).22	U4(3).(2^2)_{133}M6
7	46656	280	3(1+4)+.2(1+4)−.S3	3^(1+4)+.2^(1+4)-.S3
8	24192	540	2 × U3(3).2	2xU3(3).2
9	4608	2835	2(A4 × A4).4.22	2(A4xA4).4.2^2
10	2880	4536	2 × A6.22	2xa6.2^2
11	2880	4536	2 × A6.22	U4(3).(2^2)_{133}M11
12	2880	4536	2 × A6.22	U4(3).(2^2)_{133}M12
13	1536	8505	(42 × 2)(2 × S4)	(4^2x2)(2xS4)

Group constructions in GAP:

AtlasStabilizer( "Co3", "Co3G1-p37950B0" ), AtlasSubgroup( "Co3", 3 ), PrimitiveGroup( 112, 7 ), PrimitiveGroup( 162, 5 ), PrimitiveGroup( 280, 19 ), PrimitiveGroup( 540, 5 ), PrimitiveGroup( 2835, 5 )

Stored class fusions from this table:

Co₃, U₄(3).D₈

Stored class fusions to this table:

2(A₄ × A₄).4.2², 2.U₄(3).(2²)_1*3*3*, 2.U₄(3).(2²)_1*3*3, 2.U₄(3).(2²)_1*33, 2.U₄(3).(2²)_13*3*, 2.U₄(3).(2²)_13*3, 2.U₄(3).(2²)₁₃₃, 2 × U₃(3).2, 2 × A₆.2², 3².U₄(3).(2²)₁₃₃, 3⁴:(M₁₀ × 2), 3⁽¹⁺⁴⁾⁺.2⁽¹⁺⁴⁾⁻.S₃, 3₂.U₄(3).(2²)₁₃₃, (4² × 2)(2 × S₄), L₃(4).2², U₄(3).2₁, U₄(3).2₃, U₄(3).2₃', L₃(4).2², 2 × A₆.2², 2 × A₆.2²

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