Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
308 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 10. #16839584 | C4 | semidirect |
| 11. #16839537 | C4 | semidirect |
| 12. C16×Dic61 | C4 | semidirect |
| 100. C61 | #12668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447591 | 2 |
| M32×Dic61 | 2 |
| #21445700 | 2 |
| #21443923 | 2 |
| C61×#1384 | 2 |
| #12668 | 61 |