Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
434 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 9. #15689529 | C4 | semidirect |
| 10. #15689529 | C4 | semidirect |
| 210. C47 | #9440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253941 | 2 |
| #20246493 | 2 |
| #20242014 | 2 |
| #20241900 | 2 |
| #20241281 | 2 |
| #20241280 | 2 |
| C47×#1506 | 2 |
| #9440 | 47 |