Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
204 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 3. Q32×Dic47 | C2 | semidirect |
| 4. Dic47⋊C32 | C2 | semidirect |
| 5. #20241569 | C2 | semidirect |
| 7. C2×C47×Q64 | C2 | semidirect |
| 90. C2×Q64 | D47 | semidirect |
| 114. C47 | #13690 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688960 | 2 |
| #20245650 | 2 |
| Q32×Dic47 | 2 |
| Dic47⋊C32 | 2 |
| #20241569 | 2 |
| #20241567 | 2 |
| C2×C47×Q64 | 2 |
| #13690 | 47 |