Order = 10461394944000 = 214.36.53.72.11.13.
Mult = 2.
Out = 2.
Porting notes
Fully copied from version 2. 30/7/06.Standard generators
Standard generators of A16 are a, b where a is in class 3A, b is in class 15F/G, ab has order 14 and abb has order 63. Alternatively: a is in class 3A, b is in class 15F/G, ab has order 14 and [a,b] has order 2.
Standard generators of S16 are c, d where c is in class 2E, d is in class 15FG and cd has order 16.
Black box algorithms
Checking generators (semi-presentations)
| Group | Semi-presentation | File |
|---|---|---|
| A16 | 〈〈 a, b | some conditions 〉〉 | Download |
Representations
Representations of A16
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 16 Std Details 120 Std Details 560 Std Details 1820 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 15 Std Details 0 Z 104 Std Details 0 Z 105 Std Details 0 Z 440 Std Details 0 Z 455 Std Details
Representations of S16
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 16 Std Details 120 Std Details 560 Std Details 1820 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 15 Std Details 0 Z 104 Std Details 0 Z 105 Std Details 0 Z 440 Std Details 0 Z 455 Std Details