Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
896 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 896 conjugacy classes of subgroups — too many to draw. Only its 179 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. #14539725 | C2 | semidirect |
| 2. #14539702 | C2 | semidirect |
| 3. #14539107 | C2 | semidirect |
| 4. #14528449 | C2 | semidirect |
| 5. #14528422 | C2 | semidirect |
| 6. #14527076 | C2 | semidirect |
| 7. C2×C17×#493 | C2 | semidirect |
| 10. #11763185 | C22 | semidirect |
| 11. #11763181 | C22 | semidirect |
| 13. #11763160 | C22 | semidirect |
| 14. #11763156 | C22 | semidirect |
| 15. #11763155 | C22 | semidirect |
| 16. #11763155 | C22 | semidirect |
| 23. #11762531 | C22 | semidirect |
| 128. C2×#493 | D17 | semidirect |
| 207. C17 | #19698 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539725 | 2 |
| #14539702 | 2 |
| #14539107 | 2 |
| #14528449 | 2 |
| #14528422 | 2 |
| #14527076 | 2 |
| C2×C17×#493 | 2 |
| #19698 | 17 |