Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
478 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20244360 | C2 | semidirect |
| 4. #20242068 | C2 | semidirect |
| 5. #20241246 | C2 | semidirect |
| 6. #20241218 | C2 | semidirect |
| 10. #15689519 | C4 | semidirect |
| 11. #15689469 | C4 | semidirect |
| 200. C47 | #9287 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254513 | 2 |
| #20252106 | 2 |
| #20244360 | 2 |
| #20242068 | 2 |
| #20241246 | 2 |
| #20241218 | 2 |
| C47×#1517 | 2 |
| #9287 | 47 |