Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
450 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 104 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. C4×#10587530 | C2 | semidirect |
| 2. #14544332 | C2 | semidirect |
| 3. #14543743 | C2 | semidirect |
| 4. #14543742 | C2 | semidirect |
| 8. #11763698 | C22 | semidirect |
| 11. #11763670 | C22 | semidirect |
| 31. D8×D17 | C8 | semidirect |
| 214. C17 | #11599 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587530 | 2 |
| #14544332 | 2 |
| #14543743 | 2 |
| #14543742 | 2 |
| C4×D8×D17 | 2 |
| #11599 | 17 |