Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
2130 conjugacy classes of subgroups.
The subgroup lattice has 304 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #20243097 | C2 | semidirect |
| 4. C2×#15688882 | C2 | semidirect |
| 7. #15689890 | C4 | semidirect |
| 11. #41×Dic47 | C4 | semidirect |
| 19. C47×#520 | C4 | semidirect |
| 28. C2×#10625329 | C2×C4 | semidirect |
| 34. #13093983 | C2×C4 | semidirect |
| 39. C2×C4×Dic47 | C2×C4 | semidirect |
| 55. #117×C47 | C2×C4 | semidirect |
| 57. C2×C4⋊C4×C47 | C2×C4 | semidirect |
| 162. #520 | Dic47 | semidirect |
| 175. C47 | #20343 | semidirect |
| 200. #117 | C2×Dic47 | semidirect |
| 203. C2×C4⋊C4 | C2×Dic47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689890 | 2 |
| C2×#41×Dic47 | 2 |
| #20243097 | 2 |
| C2×#15688882 | 2 |
| C47×#3428 | 2 |
| #20343 | 47 |