Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
464 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 464 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 |
|---|---|---|
| 3. #20241951 | C2 | semidirect |
| 4. #20241790 | C2 | semidirect |
| 5. #20241285 | C2 | semidirect |
| 6. #20241246 | C2 | semidirect |
| 10. #15689413 | C4 | semidirect |
| 11. #15689403 | C4 | semidirect |
| 202. C47 | #9307 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253185 | 2 |
| #20252429 | 2 |
| #20241951 | 2 |
| #20241790 | 2 |
| #20241285 | 2 |
| #20241246 | 2 |
| C47×#1804 | 2 |
| #9307 | 47 |