Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
482 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 111 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. #21444582 | C2 | semidirect |
| 3. #21444416 | C2 | semidirect |
| 4. #21444170 | C2 | semidirect |
| 5. C8×M16×C61 | C2 | semidirect |
| 145. C8×M16 | D61 | semidirect |
| 169. C61 | #9787 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840146 | 2 |
| #21444582 | 2 |
| #21444416 | 2 |
| #21444170 | 2 |
| C8×M16×C61 | 2 |
| #9787 | 61 |