Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
536 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 96 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. C2×D61⋊M32 | C2 | semidirect |
| 2. C2×#16840680 | C2 | semidirect |
| 3. #21461698 | C2 | semidirect |
| 4. #21460893 | C2 | semidirect |
| 27. #14519852 | D4 | semidirect |
| 174. C2×D61 | #361 | semidirect |
| 215. C61 | #13067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D61⋊M32 | 2 |
| C2×#16840680 | 2 |
| #21461698 | 2 |
| #21460893 | 2 |
| #466×D61 | 2 |
| #13067 | 61 |