Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
2942 conjugacy classes of subgroups.
The subgroup lattice has 368 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 4. #20241656 | C2 | direct (N × H) |
| 18. C22×C4⋊C4×C47 | C4 | semidirect |
| 50. C2×C4⋊C4×C47 | C2×C4 | semidirect |
| 180. C2×C47 | #1445 | semidirect |
| 195. C22×C4⋊C4 | Dic47 | semidirect |
| 203. C47 | C2×#1445 | semidirect |
| 231. C2×C4⋊C4 | C2×Dic47 | semidirect |
| 358. C2 | #20241656 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C47⋊#95 | 2 |
| #20241656 | 2 |
| C23×C4⋊C4×C47 | 2 |
| C2×#1445 | 47 |