Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
352 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 352 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. #14530587 | C2 | semidirect |
| 3. #14526795 | C2 | semidirect |
| 5. C4×C17×#107 | C2 | semidirect |
| 7. #11763211 | C4 | semidirect |
| 8. #11763193 | C4 | semidirect |
| 13. C4×Dic68 | C4 | semidirect |
| 15. C4×D136 | C4 | semidirect |
| 125. C4×#107 | D17 | semidirect |
| 202. C17 | #11746 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539354 | 2 |
| #14530587 | 2 |
| #14526795 | 2 |
| #14526792 | 2 |
| C4×C17×#107 | 2 |
| #11746 | 17 |