Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
308 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14526958 | C2 | semidirect |
| 4. #14526943 | C2 | semidirect |
| 6. #11763421 | C4 | semidirect |
| 8. #11763188 | C4 | semidirect |
| 9. #11763177 | C4 | semidirect |
| 15. #11762870 | C4 | semidirect |
| 198. C17 | #13608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539867 | 2 |
| #14530473 | 2 |
| #14526958 | 2 |
| #14526943 | 2 |
| C17×#2129 | 2 |
| #13608 | 17 |