Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
900 conjugacy classes of subgroups; only the 228 normal subgroups are shown.
This group has 900 conjugacy classes of subgroups — too many to draw. Only its 228 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. #21461358 | C2 | semidirect |
| 4. #21461334 | C2 | semidirect |
| 5. #21461328 | C2 | semidirect |
| 6. #21461324 | C2 | semidirect |
| 202. C61 | #17777 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462751 | 2 |
| #21461358 | 2 |
| #21461334 | 2 |
| #21461328 | 2 |
| #21461324 | 2 |
| #21459632 | 2 |
| #17777 | 61 |