Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
276 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 19. #16839586 | C4 | semidirect |
| 20. #16839585 | C4 | semidirect |
| 21. #16839584 | C4 | semidirect |
| 22. C61×#365 | C4 | semidirect |
| 154. #365 | #6923 | semidirect |
| 157. C61 | #13116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461922 | 2 |
| #21461624 | 2 |
| #21460892 | 2 |
| #21460891 | 2 |
| #21460885 | 2 |
| #21460862 | 2 |
| #365×D61 | 2 |
| #13116 | 61 |