Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
468 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 87 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. #14530456 | C2 | semidirect |
| 3. #14530455 | C2 | semidirect |
| 4. #14530435 | C2 | semidirect |
| 5. #14528828 | C2 | semidirect |
| 6. #14528587 | C2 | semidirect |
| 7. C17×#2122 | C2 | semidirect |
| 8. C22×#63228 | C4 | semidirect |
| 16. #11762845 | C4 | semidirect |
| 17. #11762814 | C4 | semidirect |
| 18. #11762813 | C4 | semidirect |
| 192. #2122 | D17 | semidirect |
| 301. C17 | #13231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538429 | 2 |
| #14530456 | 2 |
| #14530455 | 2 |
| #14530435 | 2 |
| #14528828 | 2 |
| #14528587 | 2 |
| C17×#2122 | 2 |
| #13231 | 17 |