Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
492 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 1. #14545012 | C2 | semidirect |
| 2. C2×#11763685 | C2 | semidirect |
| 3. #14543775 | C2 | semidirect |
| 4. #14543774 | C2 | semidirect |
| 8. #11763704 | C22 | semidirect |
| 11. #11763685 | C22 | semidirect |
| 239. C17 | #11711 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545012 | 2 |
| C2×#11763685 | 2 |
| #14543775 | 2 |
| #14543774 | 2 |
| D17×#466 | 2 |
| #11711 | 17 |