Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
344 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14530453 | C2 | semidirect |
| 3. #14526960 | C2 | semidirect |
| 4. #14526942 | C2 | semidirect |
| 5. C17×#2134 | C2 | semidirect |
| 6. #11763414 | C4 | semidirect |
| 8. #11763185 | C4 | semidirect |
| 9. #11763173 | C4 | semidirect |
| 15. #11762870 | C4 | semidirect |
| 41. #10587560 | C2×C4 | semidirect |
| 43. #10587556 | C2×C4 | semidirect |
| 54. #10587474 | C2×C4 | semidirect |
| 55. C4×#3622 | C2×C4 | semidirect |
| 132. #2134 | D17 | semidirect |
| 214. C17 | #13605 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539834 | 2 |
| #14530453 | 2 |
| #14526960 | 2 |
| #14526942 | 2 |
| C17×#2134 | 2 |
| #13605 | 17 |