Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
690 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 690 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14531381 | C2 | semidirect |
| 3. #14527353 | C2 | semidirect |
| 4. #14527351 | C2 | semidirect |
| 5. C2×#11762532 | C2 | semidirect |
| 6. #14526651 | C2 | semidirect |
| 7. C17×#1289 | C2 | semidirect |
| 12. #11762736 | C4 | semidirect |
| 14. #11762719 | C4 | semidirect |
| 63. C17×#95 | D4 | semidirect |
| 66. #10587502 | D4 | semidirect |
| 206. #1289 | D17 | semidirect |
| 318. #95 | D68 | semidirect |
| 319. C17 | #9205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14534521 | 2 |
| #14531381 | 2 |
| #14527353 | 2 |
| #14527351 | 2 |
| C2×#11762532 | 2 |
| #14526651 | 2 |
| C17×#1289 | 2 |
| #9205 | 17 |