Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1598 conjugacy classes of subgroups; only the 440 normal subgroups are shown.
This group has 1598 conjugacy classes of subgroups — too many to draw. Only its 440 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 |
|---|---|---|
| 6. #11763745 | C4 | semidirect |
| 12. C42×Dic17 | C4 | semidirect |
| 13. C42×Dic17 | C4 | semidirect |
| 14. C42×Dic17 | C4 | semidirect |
| 15. C43×C17 | C4 | semidirect |
| 117. C43 | #595 | semidirect |
| 143. C17 | #13757 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763745 | 2 |
| #14543960 | 2 |
| C4×(C2×#595)⋊C4 | 2 |
| C43×D17 | 2 |
| #13757 | 17 |