Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
480 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 78 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. #14545018 | C2 | semidirect |
| 2. D17⋊#338 | C2 | semidirect |
| 3. #14543759 | C2 | semidirect |
| 4. #14543758 | C2 | semidirect |
| 8. #11763706 | C22 | semidirect |
| 11. #11763678 | C22 | semidirect |
| 223. D17 | #1341 | semidirect |
| 265. C17 | C2×#1341 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545018 | 2 |
| D17⋊#338 | 2 |
| #14543759 | 2 |
| #14543758 | 2 |
| D17×#469 | 2 |
| C2×#1341 | 17 |