Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
418 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 22. #16840165 | C4 | semidirect |
| 23. #16840141 | C4 | semidirect |
| 24. #16840113 | C4 | semidirect |
| 30. C61×#487 | C4 | semidirect |
| 183. #487 | #6923 | semidirect |
| 201. C61 | #9763 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461475 | 2 |
| #21461382 | 2 |
| #21461293 | 2 |
| #21461292 | 2 |
| #21461213 | 2 |
| #21461211 | 2 |
| #21456404 | 2 |
| #9763 | 61 |