Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
2942 conjugacy classes of subgroups.
The subgroup lattice has 368 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #13066885 | C2 | direct (N × H) |
| 12. C22×C4⋊Dic11 | C4 | semidirect |
| 47. C2×C4⋊Dic11 | C2×C4 | semidirect |
| 225. C2×C11 | #1445 | semidirect |
| 282. C11 | C2×#1445 | semidirect |
| 358. C2 | #13066885 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4⋊Dic11 | 2 |
| C22×C11⋊#95 | 2 |
| #13066885 | 2 |
| C22×C11×#95 | 2 |
| C2×#1445 | 11 |