Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
450 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 88 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. #21461744 | C2 | semidirect |
| 2. #21461335 | C2 | semidirect |
| 3. #21461333 | C2 | semidirect |
| 6. #21461023 | C2 | semidirect |
| 230. C61 | #9769 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461744 | 2 |
| #21461335 | 2 |
| #21461333 | 2 |
| #21461327 | 2 |
| #21461023 | 2 |
| #486×D61 | 2 |
| #9769 | 61 |