Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.3¹⁺⁴:2S₅

Name:

3.3^(1+4):2S5

Group order:

174960 = 2⁴ ⋅ 3⁷ ⋅ 5

Number of classes:

66

InfoText value:

origin: computed from factor group 3^(1+4):2S5 and 3.McL, maximal subgroup of 3.Mcl, characters are sorted w.r. to normal series given by 3.3.3^4.2.A5.2, 3rd power map determined only up to matrix automorphism (41,42), tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasSubgroup( "3.McL", 5 )

Stored class fusions from this table:

3.3¹⁺⁴:4S₅, 3.M^cL, 3¹⁺⁴₊:2S₅, Isoclinic(2.A₅.2)

Stored class fusions to this table:

3.3⁴.3².Q₈

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