Order 15616.
1170 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. #21461992 | C2 | semidirect |
| 4. #21461989 | C2 | semidirect |
| 5. #21461988 | C2 | semidirect |
| 33. C2×#11758217 | Q8 | semidirect |
| 227. C61 | #21302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊#92420 | 2 |
| C2×C4×#11758217 | 2 |
| #21461992 | 2 |
| #21461989 | 2 |
| #21461988 | 2 |
| #21461485 | 2 |
| C2×#16840314 | 2 |
| #21302 | 61 |