Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
416 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 91 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. #21446105 | C2 | semidirect |
| 4. #21446039 | C2 | semidirect |
| 5. #21443949 | C2 | semidirect |
| 6. #21443941 | 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 |
|---|---|
| #21454881 | 2 |
| #21447460 | 2 |
| #21446105 | 2 |
| #21446039 | 2 |
| #21443949 | 2 |
| #21443941 | 2 |
| C61×#1891 | 2 |
| #12963 | 61 |