Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1326 conjugacy classes of subgroups; only the 352 normal subgroups are shown.
This group has 1326 conjugacy classes of subgroups — too many to draw. Only its 352 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 |
|---|---|---|
| 7. #11763755 | C4 | semidirect |
| 8. #11763754 | C4 | semidirect |
| 12. #11762677 | C4 | semidirect |
| 13. #11762676 | C4 | semidirect |
| 15. C17×#383 | C4 | semidirect |
| 52. C42×C17 | C42 | semidirect |
| 53. C4×Dic17 | C42 | semidirect |
| 101. #383 | #595 | semidirect |
| 127. C17 | #13830 | semidirect |
| 148. C42 | C4×#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763755 | 2 |
| C2×#11763754 | 2 |
| #14543964 | 2 |
| D17×#383 | 2 |
| #13830 | 17 |