Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
334 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 13. C17×#424 | C4 | semidirect |
| 14. C17×#424 | C4 | semidirect |
| 17. C4×M16×C17 | C4 | semidirect |
| 18. C2×C17×#97 | C4 | semidirect |
| 122. #424 | Dic17 | semidirect |
| 123. #424 | Dic17 | semidirect |
| 128. C4×M16 | Dic17 | semidirect |
| 129. C2×#97 | Dic17 | semidirect |
| 162. C17 | #12865 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14528888 | 2 |
| #14526913 | 2 |
| #14526907 | 2 |
| #14526905 | 2 |
| C17×#2923 | 2 |
| #12865 | 17 |