Order 15616.
1334 conjugacy classes of subgroups.
The subgroup lattice has 384 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #21447172 | C2 | semidirect |
| 42. C2×C22⋊Dic61 | Q8 | semidirect |
| 60. C2×C22⋊C4×C61 | Q8 | semidirect |
| 100. C22⋊C4×C61 | C2×Q8 | semidirect |
| 107. C22⋊Dic61 | C2×Q8 | semidirect |
| 216. C61 | #23565 | semidirect |
| 250. C2×C22⋊C4 | Dic122 | semidirect |
| 302. C22⋊C4 | C2×Dic122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840388 | 2 |
| #21448431 | 2 |
| #21447172 | 2 |
| C2×#16839529 | 2 |
| C2×#16839528 | 2 |
| C61×#2315 | 2 |
| #23565 | 61 |