Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
480 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20252256 | C2 | semidirect |
| 2. C2×#15688939 | C2 | semidirect |
| 5. #20241484 | C2 | semidirect |
| 6. #20241476 | C2 | semidirect |
| 24. C2×SD32×C47 | C4 | semidirect |
| 172. C2×SD32 | Dic47 | semidirect |
| 185. C47 | #13018 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252256 | 2 |
| C2×#15688939 | 2 |
| #20245104 | 2 |
| #20244299 | 2 |
| #20241484 | 2 |
| #20241476 | 2 |
| C22×SD32×C47 | 2 |
| #13018 | 47 |