Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
382 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 382 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 |
|---|---|---|
| 9. #15689526 | C4 | semidirect |
| 10. #15689519 | C4 | semidirect |
| 11. #15689475 | C4 | semidirect |
| 12. #15689475 | C4 | semidirect |
| 186. C47 | #9280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254547 | 2 |
| #20252485 | 2 |
| #20241899 | 2 |
| #20241861 | 2 |
| #20241251 | 2 |
| #20241217 | 2 |
| C47×#1506 | 2 |
| #9280 | 47 |