Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
310 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 17. #16839583 | C4 | semidirect |
| 18. #16839582 | C4 | semidirect |
| 19. C61×#364 | C4 | semidirect |
| 137. #364 | #6923 | semidirect |
| 139. C61 | #13181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462171 | 2 |
| #21461755 | 2 |
| #21461621 | 2 |
| #21460894 | 2 |
| #364×D61 | 2 |
| #13181 | 61 |