Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
298 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 115 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. C22×#10587465 | C2 | semidirect |
| 2. #14530568 | C2 | semidirect |
| 3. #14526965 | C2 | semidirect |
| 4. #14526962 | C2 | semidirect |
| 13. C17×#508 | C4 | semidirect |
| 95. #508 | Dic17 | semidirect |
| 129. C17 | #13615 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10587465 | 2 |
| #14530568 | 2 |
| #14526965 | 2 |
| #14526962 | 2 |
| C2×C17×#508 | 2 |
| #13615 | 17 |