Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3¹⁺⁴:4S₅

Name:

3^(1+4):4S5

Group order:

116640 = 2⁵ ⋅ 3⁶ ⋅ 5

Number of classes:

33

InfoText value:

origin: Dixon's algorithm, maximal subgroup of McL.2, normalizer of 3A element, the table is sorted w.r. to normal series 3.3^4.2.(S5x2), tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasStabilizer( "McL.2", "McLd2G1-p15400aB0" ), AtlasSubgroup( "McL.2", 4 )

Stored class fusions from this table:

M^cL.2

Stored class fusions to this table:

3.3¹⁺⁴:4S₅, 3¹⁺⁴₊:2S₅

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