Order 11008.
3854 conjugacy classes of subgroups.
The subgroup lattice has 324 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #19137079 | C2 | direct (N × H) |
| 4. C2×#14582798 | C2 | semidirect |
| 6. C2×C4×C4⋊Dic43 | C2 | semidirect |
| 19. #14582798 | C22 | semidirect |
| 21. C4×C4⋊Dic43 | C22 | semidirect |
| 24. C2×#117×C43 | C4 | semidirect |
| 57. #117×C43 | C2×C4 | semidirect |
| 58. C2×C4⋊C4×C43 | C2×C4 | semidirect |
| 62. C2×C42×C43 | C2×C4 | semidirect |
| 71. C22×C4×C43 | C4⋊C4 | semidirect |
| 95. C4⋊C4×C43 | C22×C4 | semidirect |
| 97. C42×C43 | C22×C4 | semidirect |
| 121. C2×C4×C43 | C2×C4⋊C4 | semidirect |
| 164. C2×C43 | #2296 | semidirect |
| 173. C2×#117 | Dic43 | semidirect |
| 190. C43 | C2×#2296 | semidirect |
| 205. #117 | C2×Dic43 | semidirect |
| 210. C2×C4⋊C4 | C2×Dic43 | semidirect |
| 223. C2×C42 | C2×Dic43 | semidirect |
| 243. C22×C4 | C4⋊Dic43 | semidirect |
| 259. C4⋊C4 | C22×Dic43 | semidirect |
| 265. C42 | C22×Dic43 | semidirect |
| 291. C2×C4 | C2×C4⋊Dic43 | semidirect |
| 318. C2 | #19137079 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063284 | 2 |
| C23×C4×Dic43 | 2 |
| #19137079 | 2 |
| C2×#14582798 | 2 |
| C2×#14582774 | 2 |
| C2×C4×C4⋊Dic43 | 2 |
| C22×#117×C43 | 2 |
| C2×#2296 | 43 |