Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
184 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14531077 | C2 | semidirect |
| 2. #14530906 | C2 | semidirect |
| 4. #14526988 | C2 | semidirect |
| 5. #14526977 | C2 | semidirect |
| 6. #14526974 | C2 | semidirect |
| 7. C2×C17×SD64 | C2 | semidirect |
| 80. C2×SD64 | D17 | semidirect |
| 134. C17 | #13702 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531077 | 2 |
| #14530906 | 2 |
| #14530901 | 2 |
| #14526988 | 2 |
| #14526977 | 2 |
| #14526974 | 2 |
| C2×C17×SD64 | 2 |
| #13702 | 17 |