Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
270 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 6. #11762608 | C4 | semidirect |
| 9. #11762602 | C4 | semidirect |
| 11. C17×#423 | C4 | semidirect |
| 14. C17×#376 | C4 | semidirect |
| 118. #423 | Dic17 | semidirect |
| 123. #376 | Dic17 | semidirect |
| 154. C17 | #7503 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530469 | 2 |
| #14530449 | 2 |
| C17×#1963 | 2 |
| #7503 | 17 |