Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
452 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 95 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. #20243398 | C2 | semidirect |
| 3. #20242163 | C2 | semidirect |
| 4. #20242035 | C2 | semidirect |
| 5. #20241949 | C2 | semidirect |
| 6. #20241247 | C2 | semidirect |
| 7. C47×#1460 | C2 | semidirect |
| 190. #1460 | D47 | semidirect |
| 218. C47 | #10464 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252852 | 2 |
| #20243398 | 2 |
| #20242163 | 2 |
| #20242035 | 2 |
| #20241949 | 2 |
| #20241247 | 2 |
| C47×#1460 | 2 |
| #10464 | 47 |