Order 22784.
1238 conjugacy classes of subgroups.
The subgroup lattice has 374 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #26021212 | C2 | semidirect |
| 4. #26021053 | C2 | semidirect |
| 6. C4×#15667935 | C2 | semidirect |
| 10. #19152155 | C4 | semidirect |
| 138. C2×C4×C89 | #103 | semidirect |
| 194. C89 | #21400 | semidirect |
| 332. C2×C4 | #15667935 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19152155 | 2 |
| C22×C4×#10623494 | 2 |
| #26021212 | 2 |
| #26021053 | 2 |
| #26020673 | 2 |
| C4×#15667935 | 2 |
| C89×#2285 | 2 |
| #21400 | 89 |