Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
418 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 90 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. #14545117 | C2 | semidirect |
| 2. #14544334 | C2 | semidirect |
| 3. #14543797 | C2 | semidirect |
| 4. #14543796 | C2 | semidirect |
| 8. #11763730 | C22 | semidirect |
| 11. #11763671 | C22 | semidirect |
| 227. C17 | #11926 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545117 | 2 |
| #14544334 | 2 |
| #14543797 | 2 |
| #14543796 | 2 |
| D17×#495 | 2 |
| #11926 | 17 |