Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
932 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 932 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 |
|---|---|---|
| 2. C2×#15688920 | C2 | semidirect |
| 3. C2×#15688919 | C2 | semidirect |
| 4. #20243791 | C2 | semidirect |
| 5. C47×#1888 | C2 | semidirect |
| 8. #15689865 | C4 | semidirect |
| 15. C2×#13093943 | C22 | semidirect |
| 20. C47×#519 | C22 | semidirect |
| 22. C2×#101×C47 | C22 | semidirect |
| 180. #1888 | D47 | semidirect |
| 196. #519 | C2×D47 | semidirect |
| 200. C2×#101 | C2×D47 | semidirect |
| 205. C47 | #12774 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689865 | 2 |
| C2×#15688920 | 2 |
| C2×#15688919 | 2 |
| #20243791 | 2 |
| C47×#1888 | 2 |
| #12774 | 47 |