Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
212 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 212 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. C4×D752 | C2 | semidirect |
| 3. #20241590 | C2 | semidirect |
| 4. #20241567 | C2 | semidirect |
| 5. C47×#1397 | C2 | semidirect |
| 8. D1504 | C4 | semidirect |
| 17. D752 | C2×C4 | semidirect |
| 24. C32×C47 | C2×C4 | semidirect |
| 60. #1397 | D47 | semidirect |
| 72. C47 | #13654 | semidirect |
| 83. C32 | C4×D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D1504 | 2 |
| C4×D752 | 2 |
| #20241590 | 2 |
| #20241567 | 2 |
| C47×#1397 | 2 |
| #13654 | 47 |