Order 11008.
946 conjugacy classes of subgroups.
The subgroup lattice has 414 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. C2×#14582637 | C2 | semidirect |
| 4. #19132475 | C2 | semidirect |
| 6. C2×#13063304 | C4 | semidirect |
| 13. #14582759 | C4 | semidirect |
| 227. C43 | #9151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142882 | 2 |
| C2×#14582759 | 2 |
| C2×#14582637 | 2 |
| #19132475 | 2 |
| C43×#1779 | 2 |
| #9151 | 43 |