Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
522 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 145 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×#10587670 | C2 | semidirect |
| 3. #14545860 | C2 | semidirect |
| 6. #11763908 | C4 | direct (N × H) |
| 32. #10587670 | C2×C4 | semidirect |
| 147. C4×C17 | #349 | semidirect |
| 150. Dic17 | #349 | semidirect |
| 204. C17 | C4×#349 | semidirect |
| 306. C4 | #11763908 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763908 | 2 |
| C4×#10587670 | 2 |
| #14545860 | 2 |
| C2×C4×#63243 | 2 |
| C4×#349 | 17 |