Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
314 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 114 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 |
| 98. #595 | #368 | direct (N × H) |
| 113. #368 | #595 | direct (N × H) |
| 144. C17 | C4×#368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D17⋊#368 | 2 |
| C2×C16×#595 | 2 |
| #108×#595 | 2 |
| #14543843 | 2 |
| D17×#368 | 2 |
| C4×#368 | 17 |