Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
176 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 176 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 |
|---|---|---|
| 1. #20245663 | C2 | semidirect |
| 2. #20241589 | C2 | semidirect |
| 3. C4⋊(C47⋊C32) | C2 | semidirect |
| 22. D16×C47 | Q8 | semidirect |
| 85. C47 | #13705 | semidirect |
| 90. D16 | Dic94 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245663 | 2 |
| #20241589 | 2 |
| C4⋊(C47⋊C32) | 2 |
| #20241566 | 2 |
| C4×D16×C47 | 2 |
| #13705 | 47 |