Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
274 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #21443932 | C2 | semidirect |
| 5. #21443919 | C2 | semidirect |
| 6. #21443918 | C2 | semidirect |
| 7. C61×#2161 | C2 | semidirect |
| 128. #2161 | D61 | semidirect |
| 153. C61 | #13497 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447446 | 2 |
| #21445875 | 2 |
| #21445866 | 2 |
| #21443932 | 2 |
| #21443919 | 2 |
| #21443918 | 2 |
| C61×#2161 | 2 |
| #13497 | 61 |