Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
456 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. #14528587 | C2 | semidirect |
| 4. #14526905 | C2 | semidirect |
| 5. C17×#1392 | C2 | semidirect |
| 7. C22×#63218 | C4 | semidirect |
| 11. #11762835 | C4 | semidirect |
| 13. #11762772 | C4 | semidirect |
| 15. #11762767 | C4 | semidirect |
| 16. #11762600 | C4 | semidirect |
| 17. #11762597 | C4 | semidirect |
| 125. #1392 | D17 | semidirect |
| 194. C17 | #12624 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537490 | 2 |
| #14530426 | 2 |
| #14528587 | 2 |
| #14526905 | 2 |
| C17×#1392 | 2 |
| #12624 | 17 |