Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
186 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14530666 | C2 | semidirect |
| 3. #14526987 | C2 | semidirect |
| 4. #14526968 | C2 | semidirect |
| 5. #14526967 | C2 | semidirect |
| 6. C4×#10587465 | C2 | semidirect |
| 7. C17×#2178 | C2 | semidirect |
| 10. #11762649 | C4 | semidirect |
| 11. #11762647 | C4 | semidirect |
| 12. #11762646 | C4 | semidirect |
| 13. #11762644 | C4 | semidirect |
| 82. #2178 | D17 | semidirect |
| 134. C17 | #13655 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14531091 | 2 |
| #14530666 | 2 |
| #14526987 | 2 |
| #14526968 | 2 |
| #14526967 | 2 |
| C4×#10587465 | 2 |
| C17×#2178 | 2 |
| #13655 | 17 |