Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
248 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 50 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. #21460755 | C2 | semidirect |
| 29. C2×D244 | C16 | semidirect |
| 100. C61 | #7056 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21460755 | 2 |
| #21446613 | 2 |
| #7056 | 61 |