Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
472 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. #20241266 | C2 | semidirect |
| 4. #20241255 | C2 | semidirect |
| 10. #15688991 | C4 | semidirect |
| 11. #15688986 | C4 | semidirect |
| 14. C4×C22⋊Dic47 | C4 | semidirect |
| 15. #15688969 | C4 | semidirect |
| 204. C47 | #8762 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20246328 | 2 |
| #20241706 | 2 |
| #20241266 | 2 |
| #20241255 | 2 |
| C47×#1799 | 2 |
| #8762 | 47 |