Order = 258190571520 = 211.310.5.7.61.
Mult = 1.
Out = 2.
Porting notes
Porting incomplete.Standard generators
Standard generators of U5(3) are a, b where a is in class 3A, b has order 5 and ab has order 16.
Representations
Representations of U5(3)
- View detailed report.
- Matrix representations
Char Ring Dimension ID Generators Description Link 3 GF(9) 5 a Std Details 3 GF(9) 5 b Std Details 3 GF(9) 10 a Std Details 3 GF(9) 10 b Std Details 3 GF(3) 10 c Std Details 3 GF(9) 15 a Std Details 3 GF(9) 15 b Std Details 3 GF(3) 20 Std Details 3 GF(3) 24 Std Details 3 GF(9) 30 a Std Details 3 GF(9) 30 b Std Details 3 GF(3) 30 c Std Details 3 GF(3) 51 Std Details
Maximal subgroups
Maximal subgroups of U5(3)
| Subgroup | Order | Index | Programs/reps |
|---|---|---|---|
| 31+6:(U3(3) × 8) | Program: Generators | ||
| 4.U4(3).4 | Program: Generators | ||
| 34+4:2.(A6 × 4).2 | |||
| U3(3) × 4.S4 | |||
| U4(2):2 | Program: Generators | ||
| 44.S5 | Program: Generators | ||
| 61:5 = F305 |