Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
480 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. #20252256 | C2 | semidirect |
| 5. #20241485 | C2 | semidirect |
| 6. #20241478 | C2 | semidirect |
| 7. C2×C47×#362 | C2 | semidirect |
| 12. C2×#13093967 | C4 | semidirect |
| 157. C2×#362 | D47 | semidirect |
| 185. C47 | #13018 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13093967 | 2 |
| #20252256 | 2 |
| #20245105 | 2 |
| #20244296 | 2 |
| #20241485 | 2 |
| #20241478 | 2 |
| C2×C47×#362 | 2 |
| #13018 | 47 |