Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
812 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 163 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. #21445093 | C2 | semidirect |
| 4. #21445058 | C2 | semidirect |
| 179. C61 | #18703 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21460314 | 2 |
| #21457210 | 2 |
| #21445093 | 2 |
| #21445058 | 2 |
| #21444557 | 2 |
| #21444275 | 2 |
| C61×#3160 | 2 |
| #18703 | 61 |