Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
314 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 23. C61×#362 | C4 | semidirect |
| 155. #362 | Dic61 | semidirect |
| 161. C61 | #13145 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839566 | 2 |
| #21447418 | 2 |
| #21446735 | 2 |
| #21446605 | 2 |
| #21443928 | 2 |
| #21443912 | 2 |
| C2×C61×#362 | 2 |
| #13145 | 61 |