Order 15616.
1710 conjugacy classes of subgroups.
The subgroup lattice has 366 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 21. C2×C4×Q8×C61 | C4 | semidirect |
| 32. C2×C4⋊Dic61 | Q8 | semidirect |
| 193. C2×C4×Q8 | Dic61 | semidirect |
| 208. C61 | #13925 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839628 | 2 |
| C2×C4×C4⋊Dic61 | 2 |
| #21444090 | 2 |
| #21444087 | 2 |
| #21444051 | 2 |
| #21444049 | 2 |
| C22×C4×Q8×C61 | 2 |
| #13925 | 61 |