Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
280 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 2. #21447631 | C2 | semidirect |
| 3. #21443771 | C2 | semidirect |
| 5. C61×#2165 | C2 | semidirect |
| 119. #2165 | D61 | semidirect |
| 143. C61 | #11523 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454471 | 2 |
| #21447631 | 2 |
| #21443771 | 2 |
| #21443756 | 2 |
| C61×#2165 | 2 |
| #11523 | 61 |