Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
488 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14541188 | C2 | semidirect |
| 2. #14531063 | C2 | semidirect |
| 3. #14530973 | C2 | semidirect |
| 4. #14530963 | C2 | semidirect |
| 5. #14530941 | C2 | semidirect |
| 6. #14530884 | C2 | semidirect |
| 7. #14530617 | C2 | semidirect |
| 8. #14530569 | C2 | semidirect |
| 9. C4×C17×D16 | C2 | semidirect |
| 125. C4×D16 | D17 | semidirect |
| 203. C17 | #33922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14541188 | 2 |
| #14531063 | 2 |
| #14530973 | 2 |
| #14530963 | 2 |
| #14530941 | 2 |
| #14530884 | 2 |
| #14530617 | 2 |
| #14530569 | 2 |
| C4×C17×D16 | 2 |
| #33922 | 17 |