Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
2830 conjugacy classes of subgroups.
The subgroup lattice has 280 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #19143159 | C2 | direct (N × H) |
| 3. C2×#14582926 | C2 | semidirect |
| 4. C2×#14582923 | C2 | semidirect |
| 11. #14582926 | C22 | semidirect |
| 12. #14582923 | C22 | semidirect |
| 13. C2×C4⋊(C43⋊C8) | C22 | semidirect |
| 30. C4⋊(C43⋊C8) | C23 | semidirect |
| 142. C2×C43 | #2905 | semidirect |
| 161. C43 | C2×#2905 | semidirect |
| 276. C2 | #19143159 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#10621877 | 2 |
| #19143159 | 2 |
| C2×#14582926 | 2 |
| C2×#14582923 | 2 |
| C22×#117×C43 | 2 |
| C2×#2905 | 43 |