Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
386 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14529507 | C2 | semidirect |
| 3. #14527439 | C2 | semidirect |
| 5. #14527284 | C2 | semidirect |
| 7. C17×#1275 | C2 | semidirect |
| 168. #1275 | D17 | semidirect |
| 262. C17 | #10547 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539130 | 2 |
| #14529507 | 2 |
| #14527439 | 2 |
| #14527431 | 2 |
| #14527284 | 2 |
| #14527280 | 2 |
| C17×#1275 | 2 |
| #10547 | 17 |