Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
610 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 610 conjugacy classes of subgroups — too many to draw. Only its 85 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. #20253324 | C2 | semidirect |
| 2. #20249178 | C2 | semidirect |
| 3. #20244225 | C2 | semidirect |
| 4. #20243485 | C2 | semidirect |
| 5. #20241904 | C2 | semidirect |
| 6. #20241293 | C2 | semidirect |
| 268. C47 | #9932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253324 | 2 |
| #20249178 | 2 |
| #20244225 | 2 |
| #20243485 | 2 |
| #20241904 | 2 |
| #20241293 | 2 |
| C47×#3192 | 2 |
| #9932 | 47 |