Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
416 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 95 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. #21446104 | C2 | semidirect |
| 4. #21446038 | C2 | semidirect |
| 5. #21443948 | C2 | semidirect |
| 6. #21443942 | C2 | semidirect |
| 218. C61 | #12963 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447460 | 2 |
| #21446238 | 2 |
| #21446104 | 2 |
| #21446038 | 2 |
| #21443948 | 2 |
| #21443942 | 2 |
| C61×#2978 | 2 |
| #12963 | 61 |