Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
366 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 3. #21460899 | C2 | semidirect |
| 4. #21460882 | C2 | semidirect |
| 15. #16839811 | C4 | semidirect |
| 17. #16839809 | C4 | semidirect |
| 21. C61×#430 | C4 | semidirect |
| 145. #430 | #6923 | semidirect |
| 154. C61 | #12877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21462050 | 2 |
| #21461702 | 2 |
| #21460899 | 2 |
| #21460882 | 2 |
| #21454429 | 2 |
| #12877 | 61 |