Order 15616.
678 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #21460658 | C2 | direct (N × H) |
| 32. C22×#92420 | C8 | semidirect |
| 98. C2×#92420 | C2×C8 | semidirect |
| 195. C2×C61 | #1281 | semidirect |
| 222. C61 | C2×#1281 | semidirect |
| 385. C2 | #21460658 | 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 |
| C22×#14519832 | 2 |
| #21460658 | 2 |
| C2×#16839812 | 2 |
| C2×#1281 | 61 |