Order 18688.
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. #22609818 | C2 | semidirect |
| 5. #22609813 | C2 | semidirect |
| 11. #17988625 | C4 | semidirect |
| 12. #17988625 | C4 | semidirect |
| 15. C2×#14556525 | C4 | semidirect |
| 16. C2×#14556523 | C4 | semidirect |
| 19. #17988542 | C4 | semidirect |
| 26. C2×#108×C73 | C4 | semidirect |
| 51. #14556501 | C2×C4 | semidirect |
| 53. C8×Dic73 | C2×C4 | semidirect |
| 68. #108×C73 | C2×C4 | semidirect |
| 69. #108×C73 | C2×C4 | semidirect |
| 181. C73 | #20446 | semidirect |
| 187. C2×#108 | Dic73 | semidirect |
| 234. #108 | C2×Dic73 | semidirect |
| 235. #108 | C2×Dic73 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17988625 | 2 |
| #22618349 | 2 |
| C2×#17988542 | 2 |
| #22609818 | 2 |
| #22609813 | 2 |
| #22609642 | 2 |
| C22×#108×C73 | 2 |
| #20446 | 73 |