Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1116 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 1116 conjugacy classes of subgroups — too many to draw. Only its 179 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 |
|---|---|---|
| 1. #14539237 | C2 | semidirect |
| 2. #14539160 | C2 | semidirect |
| 3. #14528077 | C2 | semidirect |
| 4. #14527379 | C2 | semidirect |
| 5. #14527376 | C2 | semidirect |
| 6. C17×#3548 | C2 | semidirect |
| 17. #11762551 | C22 | semidirect |
| 18. #11762549 | C22 | semidirect |
| 19. C17×#562 | C22 | semidirect |
| 136. #3548 | D17 | semidirect |
| 158. #562 | C2×D17 | semidirect |
| 222. C17 | #19075 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539237 | 2 |
| #14539160 | 2 |
| #14528077 | 2 |
| #14527379 | 2 |
| #14527376 | 2 |
| C17×#3548 | 2 |
| #19075 | 17 |