Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
1810 conjugacy classes of subgroups; only the 319 normal subgroups are shown.
This group has 1810 conjugacy classes of subgroups — too many to draw. Only its 319 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. #21444081 | C2 | semidirect |
| 2. #21444068 | C2 | semidirect |
| 3. #21444060 | C2 | semidirect |
| 4. #21444056 | C2 | semidirect |
| 15. C61×#392 | C4 | semidirect |
| 166. #392 | Dic61 | semidirect |
| 171. C61 | #14651 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21444081 | 2 |
| #21444068 | 2 |
| #21444060 | 2 |
| #21444056 | 2 |
| C2×C61×#392 | 2 |
| #14651 | 61 |