Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
766 conjugacy classes of subgroups.
The subgroup lattice has 602 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #19132725 | C2 | direct (N × H) |
| 5. C22×#10621877 | C4 | semidirect |
| 6. C23×C43⋊C8 | C4 | semidirect |
| 16. #14582866 | C4 | semidirect |
| 24. C43×#413 | C4 | semidirect |
| 26. C2×#101×C43 | C4 | semidirect |
| 31. C2×#10621877 | C2×C4 | semidirect |
| 37. C22×C43⋊C8 | C2×C4 | semidirect |
| 80. #101×C43 | C2×C4 | semidirect |
| 303. C2×C43 | #1395 | semidirect |
| 312. #413 | Dic43 | semidirect |
| 314. C2×#101 | Dic43 | semidirect |
| 328. C43 | C2×#1395 | semidirect |
| 373. #101 | C2×Dic43 | semidirect |
| 599. C2 | #19132725 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582873 | 2 |
| C2×#14582866 | 2 |
| #19132725 | 2 |
| C2×C43×#413 | 2 |
| C2×#1395 | 43 |