Order 11008.
2942 conjugacy classes of subgroups.
The subgroup lattice has 368 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #19132863 | C2 | direct (N × H) |
| 18. C22×C4⋊C4×C43 | C4 | semidirect |
| 50. C2×C4⋊C4×C43 | C2×C4 | semidirect |
| 180. C2×C43 | #1445 | semidirect |
| 195. C22×C4⋊C4 | Dic43 | semidirect |
| 203. C43 | C2×#1445 | semidirect |
| 231. C2×C4⋊C4 | C2×Dic43 | semidirect |
| 358. C2 | #19132863 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C43⋊#95 | 2 |
| #19132863 | 2 |
| C23×C4⋊C4×C43 | 2 |
| C2×#1445 | 43 |