Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
258 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 4. #21443730 | C2 | semidirect |
| 5. #21443689 | C2 | semidirect |
| 6. #21443681 | C2 | semidirect |
| 7. C61×#1571 | C2 | semidirect |
| 116. #1571 | D61 | semidirect |
| 141. C61 | #10645 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21444539 | 2 |
| #21444512 | 2 |
| #21444289 | 2 |
| #21443730 | 2 |
| #21443689 | 2 |
| #21443681 | 2 |
| C61×#1571 | 2 |
| #10645 | 61 |