Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
342 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 8. #11763705 | C4 | semidirect |
| 13. #11762591 | C4 | semidirect |
| 15. C17×#349 | C4 | semidirect |
| 143. #349 | #595 | semidirect |
| 178. C17 | #7191 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545018 | 2 |
| #14544446 | 2 |
| D17×#349 | 2 |
| #7191 | 17 |