Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
492 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 90 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. #14545445 | C2 | semidirect |
| 2. D17⋊#361 | C2 | semidirect |
| 3. C2×#11763727 | C2 | semidirect |
| 4. #14545027 | C2 | semidirect |
| 5. #14543861 | C2 | semidirect |
| 6. #14543853 | C2 | semidirect |
| 316. C17 | #13007 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545445 | 2 |
| D17⋊#361 | 2 |
| C2×#11763727 | 2 |
| #14545027 | 2 |
| #14543861 | 2 |
| #14543853 | 2 |
| D17×#472 | 2 |
| #13007 | 17 |