Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1090 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 1090 conjugacy classes of subgroups — too many to draw. Only its 183 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. C2×#15689566 | C2 | semidirect |
| 3. #20253043 | C2 | semidirect |
| 4. #20245341 | C2 | semidirect |
| 5. #20245125 | C2 | semidirect |
| 6. C47×#2115 | C2 | semidirect |
| 15. C22×Dic188 | C22 | semidirect |
| 18. #15689566 | C22 | semidirect |
| 21. #15689381 | C22 | semidirect |
| 23. #15689161 | C22 | semidirect |
| 25. #15688934 | C22 | semidirect |
| 27. C2×M32×C47 | C22 | semidirect |
| 28. C47×#349 | C22 | semidirect |
| 198. #2115 | D47 | semidirect |
| 219. C2×M32 | C2×D47 | semidirect |
| 225. #349 | C2×D47 | semidirect |
| 226. C47 | #33532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20258162 | 2 |
| C2×#15689566 | 2 |
| #20253043 | 2 |
| #20245341 | 2 |
| #20245125 | 2 |
| C47×#2115 | 2 |
| #33532 | 47 |