Order 12032.
1486 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 |
|---|---|---|
| 12. #15688991 | C4 | semidirect |
| 13. C4×C4⋊Dic47 | C4 | semidirect |
| 24. C47×#376 | C4 | semidirect |
| 103. C42×C47 | C42 | semidirect |
| 204. #376 | Dic47 | semidirect |
| 216. C47 | #13806 | semidirect |
| 295. C42 | C4×Dic47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688991 | 2 |
| C2×C4×C4⋊Dic47 | 2 |
| #20241622 | 2 |
| #20241615 | 2 |
| #20241613 | 2 |
| C4×C47⋊#95 | 2 |
| #95×Dic47 | 2 |
| C2×C47×#376 | 2 |
| #13806 | 47 |