Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
326 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 60 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. #14543930 | C2 | semidirect |
| 4. #14543929 | C2 | semidirect |
| 13. #11763166 | C4 | semidirect |
| 14. #11763166 | C4 | semidirect |
| 21. C2×C4×#3622 | C4 | semidirect |
| 22. C17×#533 | C4 | semidirect |
| 148. #533 | #595 | semidirect |
| 203. C17 | #13602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545077 | 2 |
| #14545057 | 2 |
| #14543930 | 2 |
| #14543929 | 2 |
| #14539109 | 2 |
| #13602 | 17 |