Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1318 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 1318 conjugacy classes of subgroups — too many to draw. Only its 191 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. C2×#11763421 | C2 | semidirect |
| 4. #14529931 | C2 | semidirect |
| 5. #14529869 | C2 | semidirect |
| 6. #14529138 | C2 | semidirect |
| 7. #14529094 | C2 | semidirect |
| 8. C17×#1818 | C2 | semidirect |
| 12. C2×#10587555 | C22 | semidirect |
| 14. C2×#10587556 | C22 | semidirect |
| 17. C2×C4×Dic34 | C22 | semidirect |
| 20. C2×#10587487 | C22 | semidirect |
| 26. #11762572 | C22 | semidirect |
| 29. C17×#336 | C22 | semidirect |
| 30. C17×#336 | C22 | semidirect |
| 167. #1818 | D17 | semidirect |
| 209. #336 | C2×D17 | semidirect |
| 210. #336 | C2×D17 | semidirect |
| 258. C17 | #23942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763421 | 2 |
| C2×#11762962 | 2 |
| #14531364 | 2 |
| #14529931 | 2 |
| #14529869 | 2 |
| #14529138 | 2 |
| #14529094 | 2 |
| C17×#1818 | 2 |
| #23942 | 17 |