Order 1792.
1162 conjugacy classes of subgroups.
The subgroup lattice has 398 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 18. C2×C7×#101 | C4 | semidirect |
| 21. C2×#6410 | C4 | semidirect |
| 149. C2×#101 | Dic7 | semidirect |
| 367. C7 | #10770 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#90503 | 2 |
| C22×C7×#101 | 2 |
| C22×#6410 | 2 |
| C2×#89354 | 2 |
| C2×#89351 | 2 |
| #10770 | 7 |