Order 21248.
974 conjugacy classes of subgroups.
The subgroup lattice has 386 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. #19127573 | C4 | semidirect |
| 14. #19127467 | C4 | semidirect |
| 73. C22⋊Dic83 | C42 | semidirect |
| 97. C22⋊C4×C83 | C4⋊C4 | semidirect |
| 198. C83 | #10915 | semidirect |
| 290. C22⋊C4 | Dic83⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #24910075 | 2 |
| C2×#19127468 | 2 |
| C2×#19127467 | 2 |
| C83×#2273 | 2 |
| #10915 | 83 |