Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
396 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 396 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 |
|---|---|---|
| 185. C47 | #9528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253518 | 2 |
| #20252482 | 2 |
| #20242116 | 2 |
| #20241732 | 2 |
| #20241299 | 2 |
| #20241250 | 2 |
| C47×#1487 | 2 |
| #9528 | 47 |