Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
434 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 118 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 |
|---|---|---|
| 9. #16840681 | C4 | semidirect |
| 144. Dic61 | #362 | semidirect |
| 173. C61 | C4×#362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840681 | 2 |
| #21462026 | 2 |
| C4×#14519847 | 2 |
| #21460893 | 2 |
| C4×Q16×D61 | 2 |
| C4×#362 | 61 |