Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
406 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 406 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 |
|---|---|---|
| 3. #14527542 | C2 | semidirect |
| 4. #14527472 | C2 | semidirect |
| 5. #14527238 | C2 | semidirect |
| 7. C17×#1292 | C2 | semidirect |
| 160. #1292 | D17 | semidirect |
| 248. C17 | #10461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538583 | 2 |
| #14528773 | 2 |
| #14527542 | 2 |
| #14527472 | 2 |
| #14527238 | 2 |
| C2×#11762536 | 2 |
| C17×#1292 | 2 |
| #10461 | 17 |