Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
286 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 7. #11762606 | C4 | semidirect |
| 9. #11762604 | C4 | semidirect |
| 13. C2×C4×C8×C17 | C4 | semidirect |
| 14. C17×#382 | C4 | semidirect |
| 125. C2×C4×C8 | Dic17 | semidirect |
| 126. #382 | Dic17 | semidirect |
| 158. C17 | #7502 | semidirect |
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 |
| C17×#1958 | 2 |
| #7502 | 17 |