Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
356 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 103 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. C4×#10587488 | C2 | semidirect |
| 3. #14526797 | C2 | semidirect |
| 5. C17×#2162 | C2 | semidirect |
| 7. #11763211 | C4 | semidirect |
| 8. #11763193 | C4 | semidirect |
| 13. C4×Dic68 | C4 | semidirect |
| 15. C4×D136 | C4 | semidirect |
| 122. #2162 | D17 | semidirect |
| 198. C17 | #11741 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539354 | 2 |
| C4×#10587488 | 2 |
| #14526797 | 2 |
| #14526794 | 2 |
| C17×#2162 | 2 |
| #11741 | 17 |