Order 18176.
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. #22588227 | C2 | semidirect |
| 5. #22588222 | C2 | semidirect |
| 11. #17986037 | C4 | semidirect |
| 12. #17986037 | C4 | semidirect |
| 15. C2×#14556062 | C4 | semidirect |
| 16. C2×#14556060 | C4 | semidirect |
| 19. #17985954 | C4 | semidirect |
| 26. C2×#108×C71 | C4 | semidirect |
| 51. #14556038 | C2×C4 | semidirect |
| 53. C8×Dic71 | C2×C4 | semidirect |
| 68. #108×C71 | C2×C4 | semidirect |
| 69. #108×C71 | C2×C4 | semidirect |
| 181. C71 | #20446 | semidirect |
| 187. C2×#108 | Dic71 | semidirect |
| 234. #108 | C2×Dic71 | semidirect |
| 235. #108 | C2×Dic71 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17986037 | 2 |
| #22596758 | 2 |
| C2×#17985954 | 2 |
| #22588227 | 2 |
| #22588222 | 2 |
| #22588051 | 2 |
| C22×#108×C71 | 2 |
| #20446 | 71 |