Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
306 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 11. #15689523 | C4 | semidirect |
| 12. #15689520 | C4 | semidirect |
| 33. #13093964 | Q8 | semidirect |
| 49. C2×C16×C47 | Q8 | semidirect |
| 146. C47 | #13291 | semidirect |
| 164. C2×C16 | Dic94 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253916 | 2 |
| #20244992 | 2 |
| #20243513 | 2 |
| #20241502 | 2 |
| #20241495 | 2 |
| #20241490 | 2 |
| C47×#1383 | 2 |
| #13291 | 47 |