Order 21248.
1510 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. #24907539 | C2 | semidirect |
| 6. #24907194 | C2 | semidirect |
| 11. C2×#14581748 | C4 | semidirect |
| 12. C2×#14581748 | C4 | semidirect |
| 16. C22×Dic83⋊C4 | C4 | semidirect |
| 18. C22×C4×Dic83 | C4 | semidirect |
| 204. C83 | #20688 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14581748 | 2 |
| #24909841 | 2 |
| #24907539 | 2 |
| #24907537 | 2 |
| #24907535 | 2 |
| #24907194 | 2 |
| C83×#1819 | 2 |
| #20688 | 83 |