Order 2816.
562 conjugacy classes of subgroups.
The subgroup lattice has 362 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. C11×#423 | C4 | semidirect |
| 12. C4×C11×M16 | C4 | semidirect |
| 22. #10622539 | C4 | semidirect |
| 24. #10622538 | C4 | semidirect |
| 165. #423 | Dic11 | semidirect |
| 169. C4×M16 | Dic11 | semidirect |
| 289. C11 | #8106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13077249 | 2 |
| #13071014 | 2 |
| #13066521 | 2 |
| C11×#2920 | 2 |
| #8106 | 11 |