Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 5².5.5².4S₅

Name:

5^2.5.5^2.4S5

Group order:

1500000 = 2⁵ ⋅ 3 ⋅ 5⁶

Number of classes:

51

InfoText value:

11th maximal subgroup of HN.2, 2nd maximal subgroup of G2(5), origin: Dixon's Algorithm

Group constructions in GAP:

AtlasStabilizer( "G2(5)", "G25G1-p3906bB0" ), AtlasSubgroup( "G2(5)", 2 ), AtlasSubgroup( "HN.2", 11 )

Stored class fusions from this table:

G₂(5), HN.2, Ly

Stored class fusions to this table:

5².5.5².4A₅

File created automatically by GAP on 6-May-2025.