Order 18688.
1270 conjugacy classes of subgroups.
The subgroup lattice has 398 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #22626104 | C2 | semidirect |
| 4. #22626102 | C2 | semidirect |
| 206. C73 | #21820 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989607 | 2 |
| C2×#17989603 | 2 |
| #22626104 | 2 |
| #22626102 | 2 |
| #22625822 | 2 |
| #22625821 | 2 |
| C22×#14556556 | 2 |
| #21820 | 73 |