Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
260 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 44 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 |
|---|---|---|
| 9. #11763720 | C4 | semidirect |
| 13. #11762608 | C4 | semidirect |
| 15. C17×#356 | C4 | semidirect |
| 128. #356 | #595 | semidirect |
| 155. C17 | #7505 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#356 | 2 |
| #14544915 | 2 |
| D17×#356 | 2 |
| #7505 | 17 |