Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
482 conjugacy classes of subgroups.
The subgroup lattice has 334 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #19132476 | C2 | semidirect |
| 4. #19132476 | C2 | semidirect |
| 189. C43 | #8720 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134357 | 2 |
| #19132476 | 2 |
| C43×#2283 | 2 |
| #8720 | 43 |