Order 11008.
1010 conjugacy classes of subgroups.
The subgroup lattice has 348 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #19134481 | C2 | semidirect |
| 5. #19134476 | C2 | semidirect |
| 11. C2×#13063261 | C4 | semidirect |
| 16. #14582854 | C4 | semidirect |
| 23. C43×#427 | C4 | semidirect |
| 24. C43×#427 | C4 | semidirect |
| 27. C2×#107×C43 | C4 | semidirect |
| 28. C2×#106×C43 | C4 | semidirect |
| 44. #13063261 | C2×C4 | semidirect |
| 45. #13063261 | C2×C4 | semidirect |
| 47. #13063235 | C2×C4 | semidirect |
| 49. C8×Dic43 | C2×C4 | semidirect |
| 189. #427 | Dic43 | semidirect |
| 190. #427 | Dic43 | semidirect |
| 193. C2×#107 | Dic43 | semidirect |
| 194. C2×#106 | Dic43 | semidirect |
| 202. C43 | #20446 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063261 | 2 |
| #19143014 | 2 |
| C2×#14582854 | 2 |
| #19134481 | 2 |
| #19134476 | 2 |
| #19134304 | 2 |
| C2×C43×#427 | 2 |
| #20446 | 43 |