Order = 177843714048000 = 214.36.53.72.11.13.17.
Mult = 2.
Out = 2.
Porting notes
Fully copied from version 2. 30/7/06Standard generators
Standard generators of A17 are a, b where a is in class 3A, b has order 15 (necessarily in class 15G) and ab has order 17.
Standard generators of S17 are c, d where c is in class 2E, d has order 16 (necessarily in class 16A) and cd has order 17.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| A17 | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of A17
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 17 Std Details 136 Std Details 680 Std Details 2380 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 16 Std Details 0 Z 119 Std Details 0 Z 120 Std Details 0 Z 544 Std Details 0 Z 560 Std Details
Representations of S17
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 17 Std Details 136 Std Details 680 Std Details 2380 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 16 Std Details 0 Z 119 Std Details 0 Z 120 Std Details 0 Z 544 Std Details 0 Z 560 Std Details