Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
434 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 71 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. #20245079 | C2 | semidirect |
| 3. #20243936 | C2 | semidirect |
| 4. #20243933 | C2 | semidirect |
| 5. #20243610 | C2 | semidirect |
| 6. #20241510 | C2 | semidirect |
| 7. C47×#2134 | C2 | semidirect |
| 195. #2134 | D47 | semidirect |
| 228. C47 | #13429 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254249 | 2 |
| #20245079 | 2 |
| #20243936 | 2 |
| #20243933 | 2 |
| #20243610 | 2 |
| #20241510 | 2 |
| C47×#2134 | 2 |
| #13429 | 47 |