Order 1792.
1230 conjugacy classes of subgroups.
The subgroup lattice has 392 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #11739494 | C2 | semidirect |
| 3. #11729564 | C2 | semidirect |
| 4. #11729559 | C2 | semidirect |
| 5. #11729531 | C2 | semidirect |
| 6. #11729514 | C2 | semidirect |
| 24. #89697 | C22 | semidirect |
| 25. #89696 | C22 | semidirect |
| 27. #89341 | C22 | semidirect |
| 28. #89339 | C22 | semidirect |
| 364. C7 | #17738 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C7×#532 | 2 |
| #11739494 | 2 |
| #11729564 | 2 |
| #11729559 | 2 |
| #11729531 | 2 |
| #11729514 | 2 |
| #17738 | 7 |