Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1630 conjugacy classes of subgroups; only the 352 normal subgroups are shown.
This group has 1630 conjugacy classes of subgroups — too many to draw. Only its 352 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. #14543964 | C2 | semidirect |
| 8. #11763751 | C4 | semidirect |
| 14. #11762672 | C4 | semidirect |
| 15. #11762671 | C4 | semidirect |
| 16. #11762670 | C4 | semidirect |
| 18. C17×#381 | C4 | semidirect |
| 60. C22×C4×C17 | C42 | semidirect |
| 64. C22×Dic17 | C42 | semidirect |
| 74. C2×C4×D17 | C42 | semidirect |
| 160. #381 | #595 | semidirect |
| 199. C17 | #13828 | semidirect |
| 229. C22×C4 | C4×#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763751 | 2 |
| #14543965 | 2 |
| #14543964 | 2 |
| D17×#381 | 2 |
| #13828 | 17 |