Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
954 conjugacy classes of subgroups; only the 228 normal subgroups are shown.
This group has 954 conjugacy classes of subgroups — too many to draw. Only its 228 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. #21461301 | C2 | semidirect |
| 3. #21461291 | C2 | semidirect |
| 12. #16840619 | C22 | semidirect |
| 186. C61 | #17676 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840782 | 2 |
| #21461301 | 2 |
| #21461291 | 2 |
| C2×#16840315 | 2 |
| #17676 | 61 |