Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
402 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 184 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 |
|---|---|---|
| 12. #11763700 | C4 | semidirect |
| 13. #11763699 | C4 | semidirect |
| 14. #11763698 | C4 | semidirect |
| 15. C4×#63216 | C4 | semidirect |
| 18. #11762585 | C4 | semidirect |
| 19. C16×Dic17 | C4 | semidirect |
| 20. C17×#346 | C4 | semidirect |
| 108. #346 | #595 | semidirect |
| 136. C17 | #12541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763700 | 2 |
| C2×#11763699 | 2 |
| C4×#10587530 | 2 |
| #14544440 | 2 |
| #14530377 | 2 |
| #12541 | 17 |