Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
214 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 67 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×D1504 | C2 | semidirect |
| 2. #20245474 | C2 | semidirect |
| 3. #20241588 | C2 | semidirect |
| 4. #20241567 | C2 | semidirect |
| 5. C22×C32×C47 | C2 | semidirect |
| 27. C32×C47 | D4 | semidirect |
| 58. C22×C47 | D32 | semidirect |
| 68. C22×C32 | D47 | semidirect |
| 86. C47 | #13694 | semidirect |
| 99. C32 | C22⋊D47 | semidirect |
| 132. C22 | D1504 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D1504 | 2 |
| #20245474 | 2 |
| #20241588 | 2 |
| #20241567 | 2 |
| C22×C32×C47 | 2 |
| #13694 | 47 |