Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
424 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14537771 | C2 | semidirect |
| 3. #14527330 | C2 | semidirect |
| 4. #14527200 | C2 | semidirect |
| 5. #14526648 | C2 | semidirect |
| 6. #14526646 | C2 | semidirect |
| 7. C17×#1521 | C2 | semidirect |
| 9. #11763204 | C4 | semidirect |
| 10. #11763199 | C4 | semidirect |
| 11. #11763179 | C4 | semidirect |
| 12. #11763175 | C4 | semidirect |
| 180. #1521 | D17 | semidirect |
| 292. C17 | #9370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539817 | 2 |
| #14537771 | 2 |
| #14527330 | 2 |
| #14527200 | 2 |
| #14526648 | 2 |
| #14526646 | 2 |
| C17×#1521 | 2 |
| #9370 | 17 |