Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
440 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 71 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. #20245059 | C2 | semidirect |
| 3. #20243933 | C2 | semidirect |
| 4. #20243916 | C2 | semidirect |
| 5. #20243676 | C2 | semidirect |
| 6. #20241518 | C2 | semidirect |
| 7. C47×#2122 | C2 | semidirect |
| 197. #2122 | D47 | semidirect |
| 230. C47 | #13432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254249 | 2 |
| #20245059 | 2 |
| #20243933 | 2 |
| #20243916 | 2 |
| #20243676 | 2 |
| #20241518 | 2 |
| C47×#2122 | 2 |
| #13432 | 47 |