Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
450 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 122 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 |
|---|---|---|
| 2. C4×#10587529 | C2 | semidirect |
| 3. C4×#10587536 | C2 | semidirect |
| 4. #14543845 | C2 | semidirect |
| 9. #11763724 | C4 | direct (N × H) |
| 47. #10587536 | C2×C4 | semidirect |
| 49. #10587529 | C2×C4 | semidirect |
| 147. C4×C17 | #359 | semidirect |
| 152. Dic17 | #359 | semidirect |
| 214. C17 | C4×#359 | semidirect |
| 299. C4 | #11763724 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763724 | 2 |
| C4×#10587529 | 2 |
| C4×#10587536 | 2 |
| #14543845 | 2 |
| C4×#10587605 | 2 |
| C4×#359 | 17 |