Finite Group DatabasebetaFinite Group DatabasebetaOrder 22784.
464 conjugacy classes of subgroups.
The subgroup lattice has 394 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 7. #19151367 | C4 | semidirect |
| 9. #19151324 | C4 | semidirect |
| 200. C89 | #7251 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19151367 | 2 |
| C2×#19151324 | 2 |
| C89×#1441 | 2 |
| #7251 | 89 |