Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
2942 conjugacy classes of subgroups.
The subgroup lattice has 512 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 5. #21444076 | C2 | direct (N × H) |
| 21. C2×#95×C61 | C4 | semidirect |
| 64. #95×C61 | C2×C4 | semidirect |
| 250. C2×C61 | #1442 | semidirect |
| 276. C2×#95 | Dic61 | semidirect |
| 278. C61 | C2×#1442 | semidirect |
| 320. #95 | C2×Dic61 | semidirect |
| 499. C2 | #21444076 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4⋊Dic61 | 2 |
| C22×#14519684 | 2 |
| #21444076 | 2 |
| C22×#95×C61 | 2 |
| C2×#1442 | 61 |