Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
572 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. #21455937 | C2 | semidirect |
| 3. #21451302 | C2 | semidirect |
| 4. #21444416 | C2 | semidirect |
| 5. #21444267 | C2 | semidirect |
| 6. #21443675 | C2 | semidirect |
| 7. C61×#1980 | C2 | semidirect |
| 213. #1980 | D61 | semidirect |
| 249. C61 | #10006 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21456802 | 2 |
| #21455937 | 2 |
| #21451302 | 2 |
| #21444416 | 2 |
| #21444267 | 2 |
| #21443675 | 2 |
| C61×#1980 | 2 |
| #10006 | 61 |