Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
430 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 102 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. #21461759 | C2 | semidirect |
| 2. D61⋊#334 | C2 | semidirect |
| 4. #21460688 | C2 | semidirect |
| 205. C61 | #8682 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21461759 | 2 |
| D61⋊#334 | 2 |
| #21461330 | 2 |
| #21460688 | 2 |
| #21454526 | 2 |
| #8682 | 61 |