Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
430 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 148 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 |
|---|---|---|
| 13. #11763650 | C4 | semidirect |
| 14. #11763650 | C4 | semidirect |
| 17. #11762560 | C4 | semidirect |
| 18. #11762559 | C4 | semidirect |
| 19. C17×#334 | C4 | semidirect |
| 33. #10587534 | C8 | semidirect |
| 89. C8×C17 | C4×C8 | semidirect |
| 92. #3622 | C4×C8 | semidirect |
| 122. #334 | #595 | semidirect |
| 152. C17 | #8284 | semidirect |
| 202. C8 | C8×#595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587534 | 2 |
| #14544577 | 2 |
| #14543978 | 2 |
| #14543618 | 2 |
| D17×#334 | 2 |
| #8284 | 17 |