Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
176 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
| 3. #20241590 | C2 | semidirect |
| 5. C47×C4⋊C32 | C2 | semidirect |
| 19. D752 | Q8 | semidirect |
| 70. C4⋊C32 | D47 | semidirect |
| 85. C47 | #13705 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245663 | 2 |
| C4×D752 | 2 |
| #20241590 | 2 |
| #20241567 | 2 |
| C47×C4⋊C32 | 2 |
| #13705 | 47 |