Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
502 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 502 conjugacy classes of subgroups — too many to draw. Only its 144 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 |
|---|---|---|
| 32. C2×Dic244 | C8 | semidirect |
| 64. C2×#92420 | Q16 | semidirect |
| 151. C61 | #9656 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461989 | 2 |
| C2×#16840625 | 2 |
| C2×#16840612 | 2 |
| C2×C8×#92420 | 2 |
| C2×#16839856 | 2 |
| #9656 | 61 |