Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
184 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 57 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. #20245662 | C2 | semidirect |
| 3. #20241569 | C2 | semidirect |
| 6. #20241521 | C2 | semidirect |
| 7. C47×#1416 | C2 | semidirect |
| 86. #1416 | D47 | semidirect |
| 105. C47 | #13722 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245662 | 2 |
| #20245650 | 2 |
| #20241569 | 2 |
| #20241567 | 2 |
| #20241565 | 2 |
| #20241521 | 2 |
| C47×#1416 | 2 |
| #13722 | 47 |