Order 15616.
674 conjugacy classes of subgroups.
The subgroup lattice has 394 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #21460703 | C2 | direct (N × H) |
| 197. C2×C61 | #1299 | semidirect |
| 224. C61 | C2×#1299 | semidirect |
| 389. C2 | #21460703 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840779 | 2 |
| C2×C4×#11758217 | 2 |
| #21460703 | 2 |
| C2×#16839785 | 2 |
| C2×#1299 | 61 |