Order 12032.
1010 conjugacy classes of subgroups.
The subgroup lattice has 348 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #20243275 | C2 | semidirect |
| 5. #20243270 | C2 | semidirect |
| 11. #15689161 | C4 | semidirect |
| 12. #15689161 | C4 | semidirect |
| 15. C2×#13093958 | C4 | semidirect |
| 16. C2×#13093956 | C4 | semidirect |
| 19. #15689078 | C4 | semidirect |
| 26. C2×#108×C47 | C4 | semidirect |
| 51. #13093934 | C2×C4 | semidirect |
| 53. C8×Dic47 | C2×C4 | semidirect |
| 68. #108×C47 | C2×C4 | semidirect |
| 69. #108×C47 | C2×C4 | semidirect |
| 186. C2×#108 | Dic47 | semidirect |
| 202. C47 | #20446 | semidirect |
| 234. #108 | C2×Dic47 | semidirect |
| 235. #108 | C2×Dic47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689161 | 2 |
| #20251806 | 2 |
| C2×#15689078 | 2 |
| #20243275 | 2 |
| #20243270 | 2 |
| #20243099 | 2 |
| C22×#108×C47 | 2 |
| #20446 | 47 |