Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14527547 | C2 | semidirect |
| 3. #14527394 | C2 | semidirect |
| 4. #14527291 | C2 | semidirect |
| 5. C17×#1746 | C2 | semidirect |
| 7. #11763214 | C4 | semidirect |
| 8. #11763186 | C4 | semidirect |
| 9. #11763156 | C4 | semidirect |
| 118. #1746 | D17 | semidirect |
| 191. C17 | #9764 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539363 | 2 |
| #14527547 | 2 |
| #14527394 | 2 |
| #14527291 | 2 |
| C17×#1746 | 2 |
| #9764 | 17 |