Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
548 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 548 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 |
|---|---|---|
| 2. #20243426 | C2 | semidirect |
| 3. #20241903 | C2 | semidirect |
| 4. #20241747 | C2 | semidirect |
| 5. C8×C22⋊C4×C47 | C2 | semidirect |
| 6. C22×D376 | C4 | semidirect |
| 13. C2×#13093958 | C4 | semidirect |
| 14. C2×#13093946 | C4 | semidirect |
| 166. C8×C22⋊C4 | D47 | semidirect |
| 194. C47 | #9815 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689359 | 2 |
| #20243426 | 2 |
| #20241903 | 2 |
| #20241747 | 2 |
| C8×C22⋊C4×C47 | 2 |
| #9815 | 47 |