Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
280 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 69 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. #20245203 | C2 | semidirect |
| 3. #20245152 | C2 | semidirect |
| 4. #20241450 | C2 | semidirect |
| 5. #20241448 | C2 | semidirect |
| 6. #20241429 | C2 | semidirect |
| 7. C47×#1359 | C2 | semidirect |
| 142. #1359 | D47 | semidirect |
| 166. C47 | #11991 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254013 | 2 |
| #20245203 | 2 |
| #20245152 | 2 |
| #20241450 | 2 |
| #20241448 | 2 |
| #20241429 | 2 |
| C47×#1359 | 2 |
| #11991 | 47 |