Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 5¹⁺⁴:2¹⁺⁴.5.4

Name:

5^(1+4):2^(1+4).5.4

Group order:

2000000 = 2⁷ ⋅ 5⁶

Number of classes:

53

InfoText value:

origin: CAS library, names:=group4; 5**[1+4].2**(1+4).5.4 order: 2,000,000 = 2^7.5^6 number of classes: 53 source: koichiro harada on the simple group f of order 2^14.3^6.5^6.7.11.19 proceedings of the conference on finite groups park city, utah (1975) test: 1. o.r. satisfied comments: - tests: 1.o.r., pow[2,5]

Group constructions in GAP:

AtlasSubgroup( "HN", 6 )

Stored class fusions from this table:

5¹⁺⁴₊:(4Y₂¹⁺⁴₋.5.4), HN

Stored class fusions to this table:

5¹⁺²₊:[2⁶], HNN5

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