Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1154 conjugacy classes of subgroups; only the 391 normal subgroups are shown.
This group has 1154 conjugacy classes of subgroups — too many to draw. Only its 391 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. #20256491 | C2 | semidirect |
| 2. #20251999 | C2 | semidirect |
| 3. #20245137 | C2 | semidirect |
| 4. C2×#15688936 | C2 | semidirect |
| 8. C2×#13093964 | C22 | semidirect |
| 10. C2×#13093960 | C22 | semidirect |
| 11. #15688939 | C22 | semidirect |
| 12. #15688936 | C22 | semidirect |
| 135. C47 | #33392 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20256491 | 2 |
| #20251999 | 2 |
| #20245137 | 2 |
| C2×#15688936 | 2 |
| C2×C47×#576 | 2 |
| #33392 | 47 |