Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
364 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 91 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. #14526771 | C2 | semidirect |
| 5. C22×Dic68 | C4 | semidirect |
| 8. #11763067 | C4 | semidirect |
| 12. #11762847 | C4 | semidirect |
| 196. C17 | #11869 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538439 | 2 |
| #14530405 | 2 |
| #14526771 | 2 |
| C17×#1812 | 2 |
| #11869 | 17 |