Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
170 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 55 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. #21444026 | C2 | semidirect |
| 3. #21444008 | C2 | semidirect |
| 4. #21443959 | C2 | semidirect |
| 5. C61×#2161 | C2 | semidirect |
| 70. #2161 | D61 | semidirect |
| 87. C61 | #13717 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21447922 | 2 |
| #21444026 | 2 |
| #21444008 | 2 |
| #21443959 | 2 |
| C61×#2161 | 2 |
| #13717 | 61 |