Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
444 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 3. #21461027 | C2 | semidirect |
| 4. #21461017 | C2 | semidirect |
| 5. #21460704 | C2 | semidirect |
| 6. #21460704 | C2 | semidirect |
| 224. C61 | #8245 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462543 | 2 |
| #21461323 | 2 |
| #21461027 | 2 |
| #21461017 | 2 |
| #21460704 | 2 |
| #21444409 | 2 |
| #8245 | 61 |