Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U₄(3).D₈

Name:

U4(3).D8

Group order:

26127360 = 2¹⁰ ⋅ 3⁶ ⋅ 5 ⋅ 7

Number of classes:

61

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7], constructions: Aut(U4(3)), PGU(4,3) extended by transpose-inverse

Some maximal subgroups:

	Order	Index	Structure	Name
4	233280	112	34.A6.D8	3^4.A6.D8

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
3	23328	1120	31+4+:(S3 × QD16)	3^(1+4)_+:(S3xQD16)

Atlas representations:

11 available

Group constructions in GAP:

AtlasGroup( "U4(3).D8" ), AtlasSubgroup( "Co2", 7 ), AutomorphismGroup( AtlasGroup( "U4(3)" ) ), PrimitiveGroup( 112, 8 ), PrimitiveGroup( 280, 20 ), PrimitiveGroup( 540, 8 ), PrimitiveGroup( 2835, 8 )

Stored class fusions from this table:

Co₂

Stored class fusions to this table:

3².U₄(3).D₈, 3⁴.A₆.D₈, 3¹⁺⁴₊:(S₃ × QD₁₆), (3²:D₈ × U₄(3).2²).2, U₄(3).2₁, U₄(3).2₂, U₄(3).2₃, U₄(3).4, U₄(3).(2²)₁₂₂, U₄(3).(2²)₁₃₃

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