Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
380 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 85 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. #15689521 | C4 | semidirect |
| 11. #15689503 | C4 | semidirect |
| 12. #15689474 | C4 | semidirect |
| 13. #15689474 | C4 | semidirect |
| 174. C47 | #9416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254133 | 2 |
| #20252493 | 2 |
| #20242025 | 2 |
| #20241938 | 2 |
| #20241260 | 2 |
| C47×#1288 | 2 |
| #9416 | 47 |