Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3⁴:A₆

Name:

3^4:A6

Group order:

29160 = 2³ ⋅ 3⁶ ⋅ 5

Number of classes:

21

InfoText value:

origin: computed using the tables of U4(3), U4(3).2_3, 3^4:M10 and A6; maximal subgroup of U4(3)

Group constructions in GAP:

PerfectGroup( 29160, 4 ), PrimitiveGroup( 81, 133 ), TransitiveGroup( 30, 1019 )

Stored class fusions from this table:

3⁴:(2 × A₆), 3⁴:S₆, 3⁴:M₁₀, A₆, U₄(3)

Stored class fusions to this table:

3².(3⁴:A₆), A₆

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