Order 1792.
1510 conjugacy classes of subgroups.
The subgroup lattice has 400 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 11. C2×#6489 | C4 | semidirect |
| 17. C2×C7×#95 | C4 | semidirect |
| 19. #89983 | C4 | semidirect |
| 129. C2×#95 | Dic7 | semidirect |
| 357. C7 | #10736 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6489 | 2 |
| C2×C7×#381 | 2 |
| C2×#89983 | 2 |
| C2×#89321 | 2 |
| #10736 | 7 |