Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
650 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 105 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×#11763245 | C2 | semidirect |
| 2. C2×#11762622 | C2 | semidirect |
| 3. #14529672 | C2 | semidirect |
| 4. #14526866 | C2 | semidirect |
| 5. C2×C17×#493 | C2 | semidirect |
| 39. C2×Dic68 | D4 | semidirect |
| 42. C2×D136 | D4 | semidirect |
| 50. #10587483 | D4 | semidirect |
| 127. C2×#493 | D17 | semidirect |
| 200. C17 | #13331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763245 | 2 |
| C2×#11762622 | 2 |
| #14529672 | 2 |
| #14526866 | 2 |
| C2×C17×#493 | 2 |
| #13331 | 17 |