Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
214 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 2. #21460931 | C2 | semidirect |
| 3. #21460930 | C2 | semidirect |
| 5. #16840695 | C4 | semidirect |
| 7. D61⋊C32 | C4 | semidirect |
| 85. C61 | #13551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D61⋊M64 | 2 |
| #21460931 | 2 |
| #21460930 | 2 |
| #21447414 | 2 |
| #13551 | 61 |