Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
460 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 98 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. #14544539 | C2 | semidirect |
| 4. #14543885 | C2 | semidirect |
| 9. #11763719 | C4 | semidirect |
| 10. #11763717 | C4 | semidirect |
| 18. #11762832 | C4 | semidirect |
| 20. #11762776 | C4 | semidirect |
| 21. C2×C8×Dic17 | C4 | semidirect |
| 22. C2×C17×#131 | C4 | semidirect |
| 153. C2×#131 | #595 | semidirect |
| 208. C17 | #12633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545075 | 2 |
| #14545055 | 2 |
| #14544539 | 2 |
| #14543885 | 2 |
| #14537494 | 2 |
| #12633 | 17 |