Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
320 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 56 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. #14545081 | C2 | semidirect |
| 2. #14545068 | C2 | semidirect |
| 3. #14543930 | C2 | semidirect |
| 4. #14543911 | C2 | semidirect |
| 14. #11763181 | C4 | semidirect |
| 15. #11763179 | C4 | semidirect |
| 21. #11762870 | C4 | semidirect |
| 22. C17×#540 | C4 | semidirect |
| 149. #540 | #595 | semidirect |
| 204. C17 | #13606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545081 | 2 |
| #14545068 | 2 |
| #14543930 | 2 |
| #14543911 | 2 |
| #14539839 | 2 |
| #13606 | 17 |