Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
360 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 78 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. #21461737 | C2 | semidirect |
| 3. #21461392 | C2 | semidirect |
| 5. #21460707 | C2 | semidirect |
| 6. #21460663 | C2 | semidirect |
| 207. C61 | #8877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462755 | 2 |
| #21461737 | 2 |
| #21461392 | 2 |
| #21461134 | 2 |
| #21460707 | 2 |
| #21460663 | 2 |
| #21444302 | 2 |
| #8877 | 61 |