Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
292 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 81 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. #21447613 | C2 | semidirect |
| 5. #21443931 | C2 | semidirect |
| 6. #21443922 | C2 | semidirect |
| 7. C61×#1388 | C2 | semidirect |
| 135. #1388 | D61 | semidirect |
| 155. C61 | #13498 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447613 | 2 |
| #21447429 | 2 |
| #21445854 | 2 |
| #21443931 | 2 |
| #21443922 | 2 |
| C61×#1388 | 2 |
| #13498 | 61 |