Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
492 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 93 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. #20241900 | C2 | semidirect |
| 5. #20241282 | C2 | semidirect |
| 6. #20241244 | C2 | semidirect |
| 7. C47×#1986 | C2 | semidirect |
| 10. #15689400 | C4 | semidirect |
| 11. #15689325 | C4 | semidirect |
| 178. #1986 | D47 | semidirect |
| 210. C47 | #9327 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253483 | 2 |
| #20246026 | 2 |
| #20241900 | 2 |
| #20241832 | 2 |
| #20241282 | 2 |
| #20241244 | 2 |
| C47×#1986 | 2 |
| #9327 | 47 |