Order = 653837184000 = 210.36.53.72.11.13.
Mult = 2.
Out = 2.
Porting notes
Fully copied from version 2. 30/7/06.Standard generators
Standard generators of A15 are a, b where a is in class 3A, b has order 13, ab has order 15 and abb has order 15.
Standard generators of S15 are c, d where c is in class 2D, d is in class 14E and cd has order 15.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| A15 | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of A15
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 15 Std Details 105 Std Details 455 Std Details 1365 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 14 Std Details 0 Z 90 Std Details 0 Z 91 Std Details 0 Z 350 Std Details 0 Z 364 Std Details
Representations of S15
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 15 Std Details 105 Std Details 455 Std Details 1365 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 14 Std Details 0 Z 90 Std Details 0 Z 91 Std Details 0 Z 350 Std Details 0 Z 364 Std Details