Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
406 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 109 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. #20245162 | C2 | semidirect |
| 4. #20244134 | C2 | semidirect |
| 5. #20241490 | C2 | semidirect |
| 6. #20241469 | C2 | semidirect |
| 19. #15688933 | C4 | semidirect |
| 36. #13093964 | C2×C4 | semidirect |
| 40. #13093956 | C2×C4 | semidirect |
| 180. C47 | #12951 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #135×Dic47 | 2 |
| #20245162 | 2 |
| #20245124 | 2 |
| #20244134 | 2 |
| #20241490 | 2 |
| #20241469 | 2 |
| C47×#2148 | 2 |
| #12951 | 47 |