Order = 70915680 = 25.32.5.113.37.
Mult = 3.
Out = S3.
Porting notes
Porting incomplete.Standard generators
Standard generators of U3(11) are a, b where a has order 2, b has order 3, ab has order 37 and ababb has order 4.
Standard generators of 3.U3(11) are preimages A, B where A has order 2 and AB has order 37.
Standard generators of U3(11):2 are c, d where c has order 2 (necessarily in class 2B), d has order 4 (necessarily in class 4D), cd has order 37 and cdd has order 10.
Standard generators of 3.U3(11):2 are preimages C, D where CD has order 37.
Representations
Representations of U3(11)
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 1332 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 0 Z 111 a Std Details 2 GF(2) 110 Std Details 2 GF(2) 370 a Std Details 2 GF(2) 370 b Std Details 2 GF(2) 370 c Std Details 11 GF(11) 8 Std Details 11 GF(121) 10 a Std Details
Representations of 3.U3(11)
- View detailed report.
- Matrix representations
Char Ring Dimension ID Generators Description Link 11 GF(121) 3 a Std Details
Representations of U3(11):2
- View detailed report.
- Permutation representations:
Number of points ID Generators Description Link 1332 Std Details - Matrix representations
Char Ring Dimension ID Generators Description Link 2 GF(2) 110 Std Details 11 GF(11) 8 Std Details
Representations of 3.U3(11):2
- View detailed report.
- Matrix representations
Char Ring Dimension ID Generators Description Link 11 GF(11) 6 Std Details