Order 12032.
768 conjugacy classes of subgroups.
The subgroup lattice has 378 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #20241509 | C2 | semidirect |
| 7. #15689097 | C4 | semidirect |
| 10. C2×#13093939 | C4 | semidirect |
| 12. C22×M16×C47 | C4 | semidirect |
| 13. C22×M16×C47 | C4 | semidirect |
| 15. C47×#408 | C4 | semidirect |
| 28. #13093939 | C2×C4 | semidirect |
| 47. C2×M16×C47 | C2×C4 | semidirect |
| 49. C22×C8×C47 | C2×C4 | semidirect |
| 193. C22×M16 | Dic47 | semidirect |
| 194. C22×M16 | Dic47 | semidirect |
| 203. #408 | Dic47 | semidirect |
| 206. C47 | #12577 | semidirect |
| 225. C2×M16 | C2×Dic47 | semidirect |
| 227. C22×C8 | C2×Dic47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689097 | 2 |
| #20241509 | 2 |
| C47×#2879 | 2 |
| #12577 | 47 |