Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
316 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 34. #13093964 | Q8 | semidirect |
| 50. M32×C47 | Q8 | semidirect |
| 148. C47 | #13270 | semidirect |
| 167. M32 | Dic94 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252320 | 2 |
| #20245153 | 2 |
| #20244992 | 2 |
| #20241474 | 2 |
| #20241469 | 2 |
| C47×#1378 | 2 |
| #13270 | 47 |