Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
348 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 67 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. #20245588 | C2 | semidirect |
| 2. #20245571 | C2 | semidirect |
| 3. #20244816 | C2 | semidirect |
| 4. #20241400 | C2 | semidirect |
| 5. #20241397 | C2 | semidirect |
| 6. #20241312 | C2 | semidirect |
| 195. C47 | #12283 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245588 | 2 |
| #20245571 | 2 |
| #20244816 | 2 |
| #20241400 | 2 |
| #20241397 | 2 |
| #20241312 | 2 |
| C47×#3191 | 2 |
| #12283 | 47 |