Order 18688.
1246 conjugacy classes of subgroups.
The subgroup lattice has 364 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22610046 | C2 | direct (N × H) |
| 35. C2×C4×Dic73 | C8 | semidirect |
| 83. C4×Dic73 | C2×C8 | semidirect |
| 174. C2×C73 | #1831 | semidirect |
| 188. C73 | C2×#1831 | semidirect |
| 355. C2 | #22610046 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14556520 | 2 |
| C2×C42×Dic73 | 2 |
| #22610046 | 2 |
| C2×#17988342 | 2 |
| C2×#17988341 | 2 |
| C2×#336×C73 | 2 |
| C2×#1831 | 73 |