Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
458 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 102 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. #16840114 | C4 | semidirect |
| 23. #16840113 | C4 | semidirect |
| 24. #16840112 | C4 | semidirect |
| 30. C61×#487 | C4 | semidirect |
| 209. #487 | #6923 | semidirect |
| 225. C61 | #9748 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461998 | 2 |
| #21461985 | 2 |
| #21461613 | 2 |
| D61⋊#335 | 2 |
| D61⋊#332 | 2 |
| #487×D61 | 2 |
| #9748 | 61 |