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. #19134482 | C2 | semidirect |
| 5. #19134477 | C2 | semidirect |
| 11. #14582937 | C4 | semidirect |
| 12. #14582937 | C4 | semidirect |
| 15. C2×#13063259 | C4 | semidirect |
| 16. C2×#13063257 | C4 | semidirect |
| 19. #14582854 | C4 | semidirect |
| 26. C2×#108×C43 | C4 | semidirect |
| 51. #13063235 | C2×C4 | semidirect |
| 53. C8×Dic43 | C2×C4 | semidirect |
| 68. #108×C43 | C2×C4 | semidirect |
| 69. #108×C43 | C2×C4 | semidirect |
| 186. C2×#108 | Dic43 | semidirect |
| 202. C43 | #20446 | semidirect |
| 234. #108 | C2×Dic43 | semidirect |
| 235. #108 | C2×Dic43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582937 | 2 |
| #19143013 | 2 |
| C2×#14582854 | 2 |
| #19134482 | 2 |
| #19134477 | 2 |
| #19134306 | 2 |
| C22×#108×C43 | 2 |
| #20446 | 43 |