Finite Group DatabasebetaFinite Group DatabasebetaOrder 22784.
750 conjugacy classes of subgroups.
The subgroup lattice has 598 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #26018374 | C2 | direct (N × H) |
| 297. C2×C89 | #1392 | semidirect |
| 303. C89 | C2×#1392 | semidirect |
| 595. C2 | #26018374 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19151582 | 2 |
| C2×#19151565 | 2 |
| #26018374 | 2 |
| C2×#413×C89 | 2 |
| C2×#1392 | 89 |