Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14526944 | C2 | direct (N × H) |
| 13. C2×C17×C4⋊Q8 | C4 | semidirect |
| 17. C17×#497 | C4 | semidirect |
| 19. C2×C17×#97 | C4 | semidirect |
| 34. C17×C4⋊Q8 | C2×C4 | semidirect |
| 46. C17×#97 | C2×C4 | semidirect |
| 153. C2×C4⋊Q8 | Dic17 | semidirect |
| 157. #497 | Dic17 | semidirect |
| 161. C2×#97 | Dic17 | semidirect |
| 170. C2×C17 | #1407 | semidirect |
| 187. C4⋊Q8 | C2×Dic17 | semidirect |
| 202. #97 | C2×Dic17 | semidirect |
| 203. C17 | C2×#1407 | semidirect |
| 303. C2 | #14526944 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762606 | 2 |
| C2×#11762604 | 2 |
| #14526944 | 2 |
| C2×C17×#497 | 2 |
| C2×#1407 | 17 |