Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
414 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 1. D61⋊(C4⋊C16) | C2 | semidirect |
| 2. #21461369 | C2 | semidirect |
| 3. #21460832 | C2 | semidirect |
| 151. C61 | #11924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D61⋊(C4⋊C16) | 2 |
| #21461369 | 2 |
| #21460832 | 2 |
| #21456248 | 2 |
| #11924 | 61 |