Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
578 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 3. #14529757 | C2 | semidirect |
| 4. #14526666 | C2 | semidirect |
| 10. #11763204 | C4 | semidirect |
| 48. #10587555 | C2×C4 | semidirect |
| 55. #10587474 | C2×C4 | semidirect |
| 217. C17 | #9003 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763204 | 2 |
| #14531958 | 2 |
| #14529757 | 2 |
| #14526666 | 2 |
| C2×C17×#329 | 2 |
| #9003 | 17 |