Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
334 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 334 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 |
| 15. #11763166 | C4 | semidirect |
| 16. #11763166 | C4 | semidirect |
| 21. C4×#63223 | C4 | semidirect |
| 22. C17×#533 | C4 | semidirect |
| 28. C17×#125 | C2×C4 | semidirect |
| 29. C17×#125 | C2×C4 | semidirect |
| 54. C4×#3622 | C2×C4 | semidirect |
| 55. C4×#3622 | C2×C4 | semidirect |
| 151. #533 | #595 | semidirect |
| 179. #125 | C2×#595 | semidirect |
| 180. #125 | C2×#595 | semidirect |
| 207. C17 | #13603 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763718 | 2 |
| C2×#11763716 | 2 |
| #14543930 | 2 |
| #14543929 | 2 |
| #14539173 | 2 |
| #13603 | 17 |