Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
474 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 81 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. #20243857 | C2 | semidirect |
| 3. #20243570 | C2 | semidirect |
| 4. #20241908 | C2 | semidirect |
| 6. #20241265 | C2 | semidirect |
| 252. C47 | #10558 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20243857 | 2 |
| #20243852 | 2 |
| #20243570 | 2 |
| #20241908 | 2 |
| #20241904 | 2 |
| #20241265 | 2 |
| C47×#3187 | 2 |
| #10558 | 47 |