Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
294 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 1. C2×Q32×D47 | C2 | semidirect |
| 2. C2×#15688961 | C2 | semidirect |
| 4. #20241570 | C2 | semidirect |
| 5. #20241569 | C2 | semidirect |
| 6. (C2×D47)⋊C32 | C2 | semidirect |
| 7. C2×C47×SD64 | C2 | semidirect |
| 31. Dic376 | D4 | semidirect |
| 42. Q32×C47 | D4 | semidirect |
| 100. C2×D47 | SD64 | semidirect |
| 109. C2×SD64 | D47 | semidirect |
| 134. C47 | #13662 | semidirect |
| 148. Q32 | C22⋊D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q32×D47 | 2 |
| C2×#15688961 | 2 |
| #20245471 | 2 |
| #20241570 | 2 |
| #20241569 | 2 |
| (C2×D47)⋊C32 | 2 |
| C2×C47×SD64 | 2 |
| #13662 | 47 |