Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
416 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14528813 | C2 | semidirect |
| 3. #14526797 | C2 | semidirect |
| 4. #14526794 | C2 | semidirect |
| 5. C17×#2112 | C2 | semidirect |
| 6. C2×#10587590 | C4 | semidirect |
| 8. #11763050 | C4 | semidirect |
| 10. #11763045 | C4 | semidirect |
| 14. #11762847 | C4 | semidirect |
| 145. #2112 | D17 | semidirect |
| 234. C17 | #11890 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14538365 | 2 |
| #14528813 | 2 |
| #14526797 | 2 |
| #14526794 | 2 |
| C17×#2112 | 2 |
| #11890 | 17 |