Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
474 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 10. #16840054 | C4 | semidirect |
| 11. #16839969 | C4 | semidirect |
| 112. C4×Dic61 | Q16 | semidirect |
| 207. C61 | #9236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455854 | 2 |
| #21448293 | 2 |
| #21446797 | 2 |
| #21444249 | 2 |
| #21443722 | 2 |
| #21443651 | 2 |
| C61×#1503 | 2 |
| #9236 | 61 |