Order 11008.
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. #19136290 | C2 | direct (N × H) |
| 3. C2×#14582698 | C2 | semidirect |
| 10. #14582698 | C22 | semidirect |
| 190. C2×C43 | #2135 | semidirect |
| 208. C43 | C2×#2135 | semidirect |
| 373. C2 | #19136290 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582883 | 2 |
| #19136290 | 2 |
| C2×#14582698 | 2 |
| C2×C43×#536 | 2 |
| C2×#2135 | 43 |