Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
252 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 252 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 |
|---|---|---|
| 4. C2×#10587530 | C4 | semidirect |
| 5. C2×#10587529 | C4 | semidirect |
| 10. #11763677 | C4 | semidirect |
| 14. #11762566 | C4 | semidirect |
| 15. C17×H(3,ℤ/4) | C4 | semidirect |
| 128. H(3,ℤ/4) | #595 | semidirect |
| 158. C17 | #7228 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545015 | 2 |
| #14544667 | 2 |
| #14528829 | 2 |
| #7228 | 17 |