Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
204 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 204 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×Dic752 | C2 | semidirect |
| 4. C4×Dic376 | C2 | semidirect |
| 5. #20241570 | C2 | semidirect |
| 7. C47×C4⋊C32 | C2 | semidirect |
| 94. C4⋊C32 | 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×Dic752 | 2 |
| C2×#15688962 | 2 |
| #20245649 | 2 |
| C4×Dic376 | 2 |
| #20241570 | 2 |
| #20241567 | 2 |
| C47×C4⋊C32 | 2 |
| #13690 | 47 |