Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
290 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 76 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×#16840695 | C2 | semidirect |
| 2. D61⋊#368 | C2 | semidirect |
| 3. #21460975 | C2 | semidirect |
| 4. #21460974 | C2 | semidirect |
| 158. C61 | #13625 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840695 | 2 |
| D61⋊#368 | 2 |
| #21460975 | 2 |
| #21460974 | 2 |
| #508×D61 | 2 |
| #13625 | 61 |