Order 18688.
2234 conjugacy classes of subgroups.
The subgroup lattice has 340 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #22619011 | C2 | direct (N × H) |
| 3. C2×C8×Dic146 | C2 | semidirect |
| 4. C2×#17988711 | C2 | semidirect |
| 18. C8×Dic146 | C22 | semidirect |
| 19. #17988711 | C22 | semidirect |
| 32. C22×Dic146 | C8 | semidirect |
| 75. C2×Dic146 | C2×C8 | semidirect |
| 166. C2×C73 | #2982 | semidirect |
| 177. C73 | C2×#2982 | semidirect |
| 335. C2 | #22619011 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic146 | 2 |
| #22619011 | 2 |
| C2×C8×Dic146 | 2 |
| C2×#17988711 | 2 |
| C2×#17988640 | 2 |
| C2×#17988637 | 2 |
| C2×#431×C73 | 2 |
| C2×#2982 | 73 |