Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
406 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 14. #11763669 | C4 | semidirect |
| 15. #11763668 | C4 | semidirect |
| 21. #11762939 | C4 | semidirect |
| 23. Q8×#3622 | C4 | semidirect |
| 25. #11762933 | C4 | semidirect |
| 30. C17×#446 | C4 | semidirect |
| 178. #446 | #595 | semidirect |
| 245. C17 | #8258 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×C4⋊#595 | 2 |
| #14544285 | 2 |
| #14544166 | 2 |
| #14543998 | 2 |
| #14543680 | 2 |
| #14543674 | 2 |
| #14537715 | 2 |
| #8258 | 17 |