Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
794 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 794 conjugacy classes of subgroups — too many to draw. Only its 151 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. #14526911 | C2 | semidirect |
| 4. #14526910 | C2 | semidirect |
| 5. C17×#1394 | C2 | semidirect |
| 11. #11762792 | C4 | semidirect |
| 50. C17×#101 | C2×C4 | semidirect |
| 53. #10587507 | C2×C4 | semidirect |
| 163. #1394 | D17 | semidirect |
| 241. #101 | C4×D17 | semidirect |
| 245. C17 | #12587 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762792 | 2 |
| #14531375 | 2 |
| #14526911 | 2 |
| #14526910 | 2 |
| C17×#1394 | 2 |
| #12587 | 17 |