Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
272 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 90. Dic188 | Q16 | semidirect |
| 156. C47 | #12415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20256357 | 2 |
| #20245671 | 2 |
| #20245537 | 2 |
| #20241441 | 2 |
| #20241370 | 2 |
| #20241357 | 2 |
| C47×#1694 | 2 |
| #12415 | 47 |