Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3¹⁺⁴₊:2S₅

Name:

3^(1+4):2S5

Group order:

58320 = 2⁴ ⋅ 3⁶ ⋅ 5

Number of classes:

24

InfoText value:

origin: CAS library, maximal subgroup (normalizer of 3A element) in McL, table sorted w.r. to normal series 3.3^4.2.A5.2, tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasStabilizer( "McL", "McLG1-p15400aB0" ), AtlasSubgroup( "McL", 5 )

Stored class fusions from this table:

3¹⁺⁴:4S₅, Isoclinic(2.A₅.2), M^cL

Stored class fusions to this table:

3.3¹⁺⁴:2S₅, 3⁴.3².Q₈

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