Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
424 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. #20245174 | C2 | semidirect |
| 4. #20244171 | C2 | semidirect |
| 5. #20241484 | C2 | semidirect |
| 6. #20241476 | C2 | semidirect |
| 20. #15688936 | C4 | semidirect |
| 36. #13093964 | C2×C4 | semidirect |
| 39. #13093960 | C2×C4 | semidirect |
| 185. C47 | #12940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252240 | 2 |
| #20245174 | 2 |
| C2×#15688936 | 2 |
| #20244171 | 2 |
| #20241484 | 2 |
| #20241476 | 2 |
| C2×C47×#357 | 2 |
| #12940 | 47 |