Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14530380 | C2 | semidirect |
| 5. #14529575 | C2 | semidirect |
| 6. #14526900 | C2 | semidirect |
| 7. C17×#1382 | C2 | semidirect |
| 15. #11762624 | C4 | semidirect |
| 16. #11762621 | C4 | semidirect |
| 129. #1382 | D17 | semidirect |
| 197. C17 | #13146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530531 | 2 |
| C2×#11762617 | 2 |
| #14530380 | 2 |
| #14529680 | 2 |
| #14529575 | 2 |
| #14526900 | 2 |
| C17×#1382 | 2 |
| #13146 | 17 |