Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
442 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 116 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. #14544985 | C2 | semidirect |
| 3. C4×#10587536 | C2 | semidirect |
| 4. #14543845 | C2 | semidirect |
| 9. #11763723 | C4 | semidirect |
| 47. #10587536 | C2×C4 | semidirect |
| 49. #10587529 | C2×C4 | semidirect |
| 214. C17 | #12640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763723 | 2 |
| #14544985 | 2 |
| C4×#10587536 | 2 |
| #14543845 | 2 |
| C4×#10587598 | 2 |
| #12640 | 17 |