Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
530 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 1. #20252455 | C2 | semidirect |
| 2. #20241980 | C2 | semidirect |
| 3. #20241805 | C2 | semidirect |
| 4. #20241225 | C2 | semidirect |
| 169. C47 | #9069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252455 | 2 |
| #20241980 | 2 |
| #20241805 | 2 |
| #20241225 | 2 |
| C47×#3147 | 2 |
| #9069 | 47 |