Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
326 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. #14526955 | C2 | semidirect |
| 7. C17×#533 | C4 | semidirect |
| 9. C17×#491 | C4 | semidirect |
| 13. C2×C17×#97 | C4 | semidirect |
| 97. #533 | Dic17 | semidirect |
| 99. #491 | Dic17 | semidirect |
| 104. C2×#97 | Dic17 | semidirect |
| 131. C17 | #13594 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530449 | 2 |
| #14526955 | 2 |
| C17×#3135 | 2 |
| #13594 | 17 |