Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
574 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 136 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 |
|---|---|---|
| 16. #16839527 | C4 | semidirect |
| 17. #16839526 | C4 | semidirect |
| 18. C61×#341 | C4 | semidirect |
| 169. #341 | #6923 | semidirect |
| 171. C61 | #11272 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14519847 | 2 |
| C2×#16840645 | 2 |
| #21461513 | 2 |
| #21461484 | 2 |
| #341×D61 | 2 |
| #11272 | 61 |