Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
442 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 97 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. #20245137 | C2 | semidirect |
| 2. #20245124 | C2 | semidirect |
| 3. #20244141 | C2 | semidirect |
| 4. #20241468 | C2 | semidirect |
| 27. #13093956 | D4 | semidirect |
| 152. C47 | #13416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245137 | 2 |
| #20245124 | 2 |
| #20244141 | 2 |
| #20241468 | 2 |
| C47×#3150 | 2 |
| #13416 | 47 |