Order 18176.
1198 conjugacy classes of subgroups.
The subgroup lattice has 376 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #22590035 | C2 | direct (N × H) |
| 3. C2×#17985798 | C2 | semidirect |
| 10. #17985798 | C22 | semidirect |
| 186. C2×C71 | #2135 | semidirect |
| 192. C71 | C2×#2135 | semidirect |
| 373. C2 | #22590035 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17985983 | 2 |
| #22590035 | 2 |
| C2×#17985798 | 2 |
| C2×#536×C71 | 2 |
| C2×#2135 | 71 |