Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
186 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 61 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. #20245268 | C2 | semidirect |
| 3. #20241571 | C2 | semidirect |
| 4. C32×Dic47 | C2 | semidirect |
| 5. C47×#1425 | C2 | semidirect |
| 8. Dic752 | C4 | semidirect |
| 9. #15688962 | C4 | semidirect |
| 10. D1504 | C4 | semidirect |
| 62. #1425 | D47 | semidirect |
| 78. C47 | #13655 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245697 | 2 |
| #20245268 | 2 |
| #20241571 | 2 |
| C32×Dic47 | 2 |
| C47×#1425 | 2 |
| #13655 | 47 |