Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
464 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 111 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. #14530395 | C2 | semidirect |
| 2. #14528809 | C2 | semidirect |
| 3. #14526793 | C2 | semidirect |
| 9. C22⋊#63214 | C22 | semidirect |
| 10. #11762572 | C22 | semidirect |
| 11. C22×D8×C17 | C4 | semidirect |
| 16. C17×#466 | C4 | semidirect |
| 18. C2×C17×#107 | C4 | semidirect |
| 152. C22×D8 | Dic17 | semidirect |
| 158. #466 | Dic17 | semidirect |
| 160. C2×#107 | Dic17 | semidirect |
| 203. C17 | #11888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14530395 | 2 |
| #14528809 | 2 |
| #14526793 | 2 |
| C2×C17×#466 | 2 |
| #11888 | 17 |