Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
398 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 108 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 |
|---|---|---|
| 100. C8×C61 | #101 | semidirect |
| 141. C61 | #8615 | semidirect |
| 225. C8 | #14519838 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461685 | 2 |
| #21461373 | 2 |
| #21460689 | 2 |
| C2×C8×Dic122 | 2 |
| #8615 | 61 |