Order 1792.
1162 conjugacy classes of subgroups.
The subgroup lattice has 378 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 5. #11727195 | C2 | semidirect |
| 6. #11727150 | C2 | semidirect |
| 14. #90161 | C4 | semidirect |
| 15. #90161 | C4 | semidirect |
| 18. C2×#6433 | C4 | semidirect |
| 19. C2×#6432 | C4 | semidirect |
| 35. C7×#117 | Q8 | semidirect |
| 121. C42×C7 | C2×Q8 | semidirect |
| 221. #117 | Dic14 | semidirect |
| 305. C42 | C2×Dic14 | semidirect |
| 352. C7 | #21329 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#90161 | 2 |
| C4×C7×#117 | 2 |
| C2×#89696 | 2 |
| #11729332 | 2 |
| #11727195 | 2 |
| #11727150 | 2 |
| #21329 | 7 |