Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
584 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 171 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. C2×#11762847 | C2 | semidirect |
| 2. #14530989 | C2 | semidirect |
| 3. #14530972 | C2 | semidirect |
| 4. #14530573 | C2 | semidirect |
| 5. #14530496 | C2 | semidirect |
| 6. #14530395 | C2 | semidirect |
| 14. #11762636 | C22 | semidirect |
| 15. #11762634 | C22 | semidirect |
| 16. #11762613 | C22 | semidirect |
| 17. #11762610 | C22 | semidirect |
| 201. C17 | #33647 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762847 | 2 |
| #14530989 | 2 |
| #14530972 | 2 |
| #14530573 | 2 |
| #14530496 | 2 |
| #14530395 | 2 |
| C17×#3050 | 2 |
| #33647 | 17 |