Order 18688.
1012 conjugacy classes of subgroups.
The subgroup lattice has 378 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #22618960 | C2 | semidirect |
| 2. #22608291 | C2 | semidirect |
| 3. #22608279 | C2 | semidirect |
| 4. #22608272 | C2 | semidirect |
| 5. #22608265 | C2 | semidirect |
| 195. C73 | #17408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22618960 | 2 |
| #22608291 | 2 |
| #22608279 | 2 |
| #22608272 | 2 |
| #22608265 | 2 |
| C2×#540×C73 | 2 |
| #17408 | 73 |