Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
330 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 93 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. #21443927 | C2 | semidirect |
| 4. #21443901 | C2 | semidirect |
| 5. C61×#1845 | C2 | semidirect |
| 113. #1845 | D61 | semidirect |
| 133. C61 | #13484 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447529 | 2 |
| #21446707 | 2 |
| #21443927 | 2 |
| #21443901 | 2 |
| C61×#1845 | 2 |
| #13484 | 61 |