Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
762 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 762 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14527351 | C2 | semidirect |
| 3. C2×#11762533 | C2 | semidirect |
| 4. #14526651 | C2 | semidirect |
| 5. C17×#2315 | C2 | semidirect |
| 9. #11762734 | C4 | semidirect |
| 11. #11762718 | C4 | semidirect |
| 27. C22×D68 | C2×C4 | semidirect |
| 47. C2×C4⋊Dic17 | C2×C4 | semidirect |
| 50. C17×#95 | D4 | semidirect |
| 52. #10587502 | C2×C4 | semidirect |
| 168. #2315 | D17 | semidirect |
| 268. #95 | C22⋊D17 | semidirect |
| 269. C17 | #9203 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14534518 | 2 |
| #14527351 | 2 |
| C2×#11762533 | 2 |
| #14526651 | 2 |
| C17×#2315 | 2 |
| #9203 | 17 |