Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
620 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 10. #15689852 | C4 | semidirect |
| 12. #15689851 | C4 | semidirect |
| 228. C47 | #8495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20257883 | 2 |
| #20244369 | 2 |
| #20242119 | 2 |
| #20242118 | 2 |
| #20242025 | 2 |
| #20241899 | 2 |
| C47×#1506 | 2 |
| #8495 | 47 |