Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
434 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #14530504 | C2 | semidirect |
| 5. #14530388 | C2 | semidirect |
| 6. #14528909 | C2 | semidirect |
| 7. C2×C17×#362 | C2 | semidirect |
| 13. #11763194 | C4 | semidirect |
| 14. #11763187 | C4 | semidirect |
| 151. C2×#362 | D17 | semidirect |
| 235. C17 | #13216 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539273 | 2 |
| #14530521 | 2 |
| #14530511 | 2 |
| #14530504 | 2 |
| #14530388 | 2 |
| #14528909 | 2 |
| C2×C17×#362 | 2 |
| #13216 | 17 |