Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
936 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 936 conjugacy classes of subgroups — too many to draw. Only its 139 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×#15688932 | C2 | semidirect |
| 3. #20245098 | C2 | semidirect |
| 4. C2×#15688905 | C2 | semidirect |
| 5. C47×#1809 | C2 | semidirect |
| 9. #15689923 | C4 | semidirect |
| 14. C2×#13093964 | C22 | semidirect |
| 20. C2×#107×C47 | C22 | semidirect |
| 21. C2×#106×C47 | C22 | semidirect |
| 123. Dic188 | C22⋊C4 | semidirect |
| 126. D376 | C22⋊C4 | semidirect |
| 204. #1809 | D47 | semidirect |
| 222. C2×#107 | C2×D47 | semidirect |
| 223. C2×#106 | C2×D47 | semidirect |
| 230. C47 | #12739 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689923 | 2 |
| C2×#15688932 | 2 |
| #20245098 | 2 |
| C2×#15688905 | 2 |
| C47×#1809 | 2 |
| #12739 | 47 |