Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
306 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 10. #11763738 | C4 | semidirect |
| 11. #11763737 | C4 | semidirect |
| 17. #11762639 | C4 | semidirect |
| 18. #11762638 | C4 | semidirect |
| 19. C17×#368 | C4 | semidirect |
| 110. #368 | #595 | semidirect |
| 141. C17 | #12676 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#368 | 2 |
| C2×#11763696 | 2 |
| #108×#595 | 2 |
| #14543843 | 2 |
| D17×#368 | 2 |
| #12676 | 17 |