Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
314 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 85 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. #21447593 | C2 | semidirect |
| 2. #21447574 | C2 | semidirect |
| 6. #21446565 | C2 | semidirect |
| 7. C61×#1388 | C2 | semidirect |
| 143. #1388 | D61 | semidirect |
| 164. C61 | #13466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447593 | 2 |
| #21447574 | 2 |
| #21447556 | 2 |
| #21447546 | 2 |
| #21446705 | 2 |
| #21446565 | 2 |
| C61×#1388 | 2 |
| #13466 | 61 |