Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
554 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 121 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. #14529613 | C2 | semidirect |
| 3. #14529611 | C2 | semidirect |
| 4. C4×C8×Dic17 | C2 | semidirect |
| 5. #14527542 | C2 | semidirect |
| 6. #14527236 | C2 | semidirect |
| 7. C17×#1492 | C2 | semidirect |
| 9. #11763212 | C4 | semidirect |
| 10. #11763185 | C4 | semidirect |
| 11. #11763157 | C4 | semidirect |
| 12. #11763155 | C4 | semidirect |
| 107. C4×Dic17 | D8 | semidirect |
| 150. #3622 | #104 | semidirect |
| 157. #1492 | D17 | semidirect |
| 243. C17 | #9844 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539359 | 2 |
| #14529613 | 2 |
| #14529611 | 2 |
| C4×C8×Dic17 | 2 |
| #14527542 | 2 |
| #14527236 | 2 |
| C17×#1492 | 2 |
| #9844 | 17 |