Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
470 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14541887 | C2 | semidirect |
| 3. #14530519 | C2 | semidirect |
| 4. #14526889 | C2 | semidirect |
| 5. C17×#1812 | C2 | semidirect |
| 11. #11763067 | C4 | semidirect |
| 12. #11763062 | C4 | semidirect |
| 50. #10587483 | D4 | semidirect |
| 122. #1812 | D17 | semidirect |
| 191. C17 | #13077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541887 | 2 |
| #14538446 | 2 |
| #14530519 | 2 |
| #14526889 | 2 |
| C17×#1812 | 2 |
| #13077 | 17 |