Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
430 conjugacy classes of subgroups; only the 150 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 150 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. #11763673 | C4 | semidirect |
| 13. #11763672 | C4 | semidirect |
| 17. #11762531 | C4 | semidirect |
| 18. #11762531 | C4 | semidirect |
| 19. #11762530 | C4 | semidirect |
| 20. C17×#322 | C4 | semidirect |
| 32. #10587533 | C8 | semidirect |
| 92. C8×C17 | C4×C8 | semidirect |
| 96. #3622 | C4×C8 | semidirect |
| 129. #322 | #595 | semidirect |
| 157. C17 | #8285 | semidirect |
| 209. C8 | C8×#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587533 | 2 |
| C8×C4⋊#595 | 2 |
| #14544329 | 2 |
| #14543619 | 2 |
| D17×#322 | 2 |
| #8285 | 17 |