Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
308 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 56 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. #14543932 | C2 | semidirect |
| 4. #14543914 | C2 | semidirect |
| 12. #11763421 | C4 | semidirect |
| 15. #11763189 | C4 | semidirect |
| 16. #11763178 | C4 | semidirect |
| 22. C17×#433 | C4 | semidirect |
| 154. #433 | #595 | semidirect |
| 198. C17 | #13608 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545081 | 2 |
| #14545068 | 2 |
| #14543932 | 2 |
| #14543914 | 2 |
| #14539869 | 2 |
| #13608 | 17 |