Order 11008.
2574 conjugacy classes of subgroups.
The subgroup lattice has 364 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19139983 | C2 | direct (N × H) |
| 42. C2×C4⋊Dic43 | Q8 | semidirect |
| 115. C4⋊Dic43 | C2×Q8 | semidirect |
| 185. C2×C43 | #2584 | semidirect |
| 217. C43 | C2×#2584 | semidirect |
| 357. C2 | #19139983 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063317 | 2 |
| #19139983 | 2 |
| C2×#14582830 | 2 |
| C2×#14582818 | 2 |
| C2×#14582797 | 2 |
| C2×#14582794 | 2 |
| C2×C4×C4⋊Dic43 | 2 |
| C22×C4×Q8×C43 | 2 |
| C2×#2584 | 43 |