Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
280 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 17. #11762630 | C4 | semidirect |
| 18. #11762629 | C4 | semidirect |
| 19. C17×#364 | C4 | semidirect |
| 123. #364 | #595 | semidirect |
| 154. C17 | #13182 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545140 | 2 |
| #14544724 | 2 |
| #14544586 | 2 |
| #14543865 | 2 |
| D17×#364 | 2 |
| #13182 | 17 |