Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
206 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 62. C16×C47 | Q16 | semidirect |
| 120. C47 | #12053 | semidirect |
| 162. C16 | Dic188 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245296 | 2 |
| C16×Dic94 | 2 |
| C8×Dic188 | 2 |
| #20241458 | 2 |
| #20241368 | 2 |
| C47×#1311 | 2 |
| #12053 | 47 |