Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
202 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 67 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. #20245246 | C2 | semidirect |
| 4. #20241589 | C2 | semidirect |
| 5. #20241570 | C2 | semidirect |
| 6. C32×Dic47 | C2 | semidirect |
| 11. #15688961 | C4 | semidirect |
| 24. Dic376 | C2×C4 | semidirect |
| 30. C47⋊C32 | C2×C4 | semidirect |
| 81. Dic47 | SD64 | semidirect |
| 105. C47 | C4×SD64 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688961 | 2 |
| #20245246 | 2 |
| D16×Dic47 | 2 |
| #20241589 | 2 |
| #20241570 | 2 |
| C32×Dic47 | 2 |
| C47×#1415 | 2 |
| C4×SD64 | 47 |