Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
434 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #20244312 | C2 | semidirect |
| 5. #20241257 | C2 | semidirect |
| 6. #20241245 | C2 | semidirect |
| 7. C47×#1556 | C2 | semidirect |
| 9. #15689529 | C4 | semidirect |
| 10. #15689485 | C4 | semidirect |
| 192. #1556 | D47 | semidirect |
| 227. C47 | #9377 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254618 | 2 |
| #20252529 | 2 |
| #20244312 | 2 |
| #20241914 | 2 |
| #20241257 | 2 |
| #20241245 | 2 |
| C47×#1556 | 2 |
| #9377 | 47 |