Order 18688.
3158 conjugacy classes of subgroups.
The subgroup lattice has 360 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22612848 | C2 | direct (N × H) |
| 11. C2×C4×Dic146 | C4 | semidirect |
| 44. C4×Dic146 | C2×C4 | semidirect |
| 75. C2×Dic146 | C4⋊C4 | semidirect |
| 154. Dic146 | C2×C4⋊C4 | semidirect |
| 174. C2×C73 | #2351 | semidirect |
| 189. C73 | C2×#2351 | semidirect |
| 353. C2 | #22612848 | 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 |
| C22×#14556556 | 2 |
| #22612848 | 2 |
| C2×#17988484 | 2 |
| C2×#17988483 | 2 |
| C2×#17988451 | 2 |
| C2×C4×C4⋊Dic73 | 2 |
| C2×#17988438 | 2 |
| C2×#382×C73 | 2 |
| C2×#2351 | 73 |