Order 11008.
1182 conjugacy classes of subgroups.
The subgroup lattice has 356 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #19133320 | C2 | direct (N × H) |
| 4. C2×#14582647 | C2 | semidirect |
| 22. #14582647 | C22 | semidirect |
| 179. C2×C43 | #1558 | semidirect |
| 206. C43 | C2×#1558 | semidirect |
| 351. C2 | #19133320 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063325 | 2 |
| C2×#14582956 | 2 |
| #19133320 | 2 |
| C2×#14582647 | 2 |
| C2×C43×#432 | 2 |
| C2×#1558 | 43 |