Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
372 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 2. #21445956 | C2 | semidirect |
| 3. #21444608 | C2 | semidirect |
| 6. #21443657 | C2 | semidirect |
| 7. C61×#1299 | C2 | semidirect |
| 167. #1299 | D61 | semidirect |
| 195. C61 | #8901 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21454949 | 2 |
| #21445956 | 2 |
| #21444608 | 2 |
| #21444259 | 2 |
| #21444199 | 2 |
| #21443657 | 2 |
| C61×#1299 | 2 |
| #8901 | 61 |