Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
328 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#11762586 | C2 | semidirect |
| 4. #14529520 | C2 | semidirect |
| 5. #14526893 | C2 | semidirect |
| 6. #14526882 | C2 | semidirect |
| 15. #11762613 | C4 | semidirect |
| 16. #11762610 | C4 | semidirect |
| 203. C17 | #13153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530496 | 2 |
| C2×#11762586 | 2 |
| #14529678 | 2 |
| #14529520 | 2 |
| #14526893 | 2 |
| #14526882 | 2 |
| C2×C17×#360 | 2 |
| #13153 | 17 |