Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
408 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 1. #21445983 | C2 | semidirect |
| 2. #21444383 | C2 | semidirect |
| 4. #21444111 | C2 | semidirect |
| 16. C61×#487 | C4 | semidirect |
| 17. C61×#486 | C4 | semidirect |
| 138. #487 | Dic61 | semidirect |
| 139. #486 | Dic61 | semidirect |
| 150. C61 | #9758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21445983 | 2 |
| #21444383 | 2 |
| #21444379 | 2 |
| #21444111 | 2 |
| C61×#3131 | 2 |
| #9758 | 61 |