Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
486 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 4. #21444434 | C2 | semidirect |
| 5. #21443719 | C2 | semidirect |
| 6. #21443675 | C2 | semidirect |
| 7. C61×#1503 | C2 | semidirect |
| 10. #16840039 | C4 | semidirect |
| 11. #16840039 | C4 | semidirect |
| 12. #16839964 | C4 | semidirect |
| 13. #16839964 | C4 | semidirect |
| 208. #1503 | D61 | semidirect |
| 243. C61 | #9165 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455914 | 2 |
| #21454853 | 2 |
| #21445647 | 2 |
| #21444434 | 2 |
| #21443719 | 2 |
| #21443675 | 2 |
| C61×#1503 | 2 |
| #9165 | 61 |