Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
480 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 2. #20246136 | C2 | semidirect |
| 3. #20242074 | C2 | semidirect |
| 5. #20241248 | C2 | semidirect |
| 6. #20241217 | C2 | semidirect |
| 9. #15689519 | C4 | semidirect |
| 10. #15689469 | C4 | semidirect |
| 208. C47 | #9302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254513 | 2 |
| #20246136 | 2 |
| #20242074 | 2 |
| #20241948 | 2 |
| #20241248 | 2 |
| #20241217 | 2 |
| C47×#1963 | 2 |
| #9302 | 47 |