Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
334 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 79 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. #11762837 | C4 | semidirect |
| 14. #11762835 | C4 | semidirect |
| 18. M16×Dic17 | C4 | semidirect |
| 19. C2×#10587486 | C4 | semidirect |
| 232. C17 | #12865 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537431 | 2 |
| #14528889 | 2 |
| #14528885 | 2 |
| #14526913 | 2 |
| #14526906 | 2 |
| #14526904 | 2 |
| C17×#1395 | 2 |
| #12865 | 17 |