Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
378 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 129. C8×C61 | #101 | semidirect |
| 178. C61 | #8619 | semidirect |
| 286. C8 | #14519838 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461685 | 2 |
| #21461376 | 2 |
| #21461373 | 2 |
| #21460689 | 2 |
| C2×#16839890 | 2 |
| #8619 | 61 |