Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
728 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 728 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. #14530437 | C2 | semidirect |
| 4. #14529336 | C2 | semidirect |
| 7. #11763559 | C4 | semidirect |
| 8. #11763545 | C4 | semidirect |
| 267. C17 | #12771 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543198 | 2 |
| #14530469 | 2 |
| #14530437 | 2 |
| #14529336 | 2 |
| C17×#1884 | 2 |
| #12771 | 17 |