Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
282 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 77. Dic188 | Q16 | semidirect |
| 142. C47 | #12406 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic188 | 2 |
| #20245670 | 2 |
| #20245531 | 2 |
| #20242782 | 2 |
| #20241445 | 2 |
| #20241353 | 2 |
| C47×Q8⋊C16 | 2 |
| #12406 | 47 |