Order 11008.
2750 conjugacy classes of subgroups.
The subgroup lattice has 352 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19137072 | C2 | direct (N × H) |
| 11. C2×C4×Dic86 | C4 | semidirect |
| 41. C4×Dic86 | C2×C4 | semidirect |
| 67. C2×C42×C43 | Q8 | semidirect |
| 109. C42×C43 | C2×Q8 | semidirect |
| 179. C2×C43 | #2295 | semidirect |
| 210. C43 | C2×#2295 | semidirect |
| 238. C2×C42 | Dic86 | semidirect |
| 290. C42 | C2×Dic86 | semidirect |
| 345. C2 | #19137072 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic86 | 2 |
| #19137072 | 2 |
| C2×#14582805 | 2 |
| C2×#14582797 | 2 |
| C2×#14582783 | 2 |
| C2×C4×Dic43⋊C4 | 2 |
| C2×C4×C4⋊Dic43 | 2 |
| C2×#14582745 | 2 |
| C2×C43×C43 | 2 |
| C2×#2295 | 43 |