Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
336 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 336 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. #14543925 | C2 | semidirect |
| 4. #14543918 | C2 | semidirect |
| 12. #11763421 | C4 | semidirect |
| 14. #11763203 | C4 | semidirect |
| 17. #11763164 | C4 | semidirect |
| 22. C17×#433 | C4 | semidirect |
| 41. #10587556 | C2×C4 | semidirect |
| 42. #10587555 | C2×C4 | semidirect |
| 50. C17×#97 | C2×C4 | semidirect |
| 51. C4×C8×C17 | C2×C4 | semidirect |
| 163. #433 | #595 | semidirect |
| 207. #97 | C2×#595 | semidirect |
| 208. C4×C8 | C2×#595 | semidirect |
| 209. C17 | #13610 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545065 | 2 |
| #14545061 | 2 |
| #14543925 | 2 |
| #14543918 | 2 |
| #14539858 | 2 |
| #13610 | 17 |