Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
296 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #20241447 | C2 | semidirect |
| 5. #20241445 | C2 | semidirect |
| 6. #20241437 | C2 | semidirect |
| 7. C47×#1362 | C2 | semidirect |
| 128. #1362 | D47 | semidirect |
| 150. C47 | #11953 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253972 | 2 |
| #20245190 | 2 |
| #20242135 | 2 |
| #20241447 | 2 |
| #20241445 | 2 |
| #20241437 | 2 |
| C47×#1362 | 2 |
| #11953 | 47 |