Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 5¹⁺²₊:8:2

Name:

5^(1+2):(8.2)

Group order:

2000 = 2⁴ ⋅ 5³

Number of classes:

17

InfoText value:

origin: Dixon's algorithm, maximal subgroup of U3(5).2, Sylow 5 normalizer in sporadic Higman Sims group HS, Sylow 5 normalizer in U3(5).2, table is sorted w.r. to normal series 5.5^2.8.2, 2nd power map determined only up to matrix automorphisms, tests: 1.o.r., pow[2,5]

Group constructions in GAP:

AtlasStabilizer( "U3(5).2", "U35d2G1-p126B0" ), AtlasSubgroup( "U3(5).2", 3 ), SmallGroup( 2000, 474 )

Stored class fusions from this table:

HS, 5¹⁺²₊:[2⁵], U₃(5).2

Stored class fusions to this table:

5¹⁺²:8:4

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