Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 5¹⁺⁴:4S₆

Name:

5^(1+4):4S6

Group order:

9000000 = 2⁶ ⋅ 3² ⋅ 5⁶

Number of classes:

55

InfoText value:

5th maximal subgroup of Ly, origin: computed using permutation characters, tables of LyN2, LyN5, G2(5)M1, and 2.(2xA6), characters are sorted w.r. to normal series given by 5.5^4.2.2.A6.2, tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasSubgroup( "Ly", 5 )

Stored class fusions from this table:

Ly

Stored class fusions to this table:

5¹⁺⁴:4.3²:D₈

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