Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
412 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 27. #16839504 | C4 | semidirect |
| 28. #16839503 | C4 | semidirect |
| 29. #16839503 | C4 | semidirect |
| 30. C61×#330 | C4 | semidirect |
| 225. #330 | #6923 | semidirect |
| 226. C61 | #8912 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462365 | 2 |
| #21462002 | 2 |
| #21461757 | 2 |
| #21461742 | 2 |
| #21460696 | 2 |
| #330×D61 | 2 |
| #8912 | 61 |