Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
466 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 111 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. #20243105 | C2 | semidirect |
| 3. #20241401 | C2 | semidirect |
| 4. #20241398 | C2 | semidirect |
| 5. C2×C47×C22⋊C16 | C2 | semidirect |
| 6. C2×#13094046 | C4 | semidirect |
| 9. #15689364 | C4 | semidirect |
| 11. #15689359 | C4 | semidirect |
| 15. #15689161 | C4 | semidirect |
| 168. C2×C22⋊C16 | D47 | semidirect |
| 196. C47 | #11703 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252969 | 2 |
| #20243105 | 2 |
| #20241401 | 2 |
| #20241398 | 2 |
| C2×C47×C22⋊C16 | 2 |
| #11703 | 47 |