Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1102 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 1102 conjugacy classes of subgroups — too many to draw. Only its 207 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. D17×#430 | C2 | semidirect |
| 3. #14530301 | C2 | semidirect |
| 4. #14530300 | C2 | semidirect |
| 5. #14530299 | C2 | semidirect |
| 6. D17×#338 | C2 | semidirect |
| 7. C17×#2091 | C2 | semidirect |
| 11. #11762858 | C22 | semidirect |
| 12. #11762857 | C22 | semidirect |
| 20. #11762567 | C22 | semidirect |
| 21. C17×#430 | C22 | semidirect |
| 23. C17×#338 | C22 | semidirect |
| 142. #2091 | D17 | direct (N × H) |
| 170. #430 | C2×D17 | semidirect |
| 179. #338 | C2×D17 | semidirect |
| 185. D17 | #2091 | direct (N × H) |
| 216. C17 | C2×#2091 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17×#430 | 2 |
| D17×#407 | 2 |
| #14530301 | 2 |
| #14530300 | 2 |
| #14530299 | 2 |
| D17×#338 | 2 |
| C17×#2091 | 2 |
| C2×#2091 | 17 |