Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
464 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 81 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. #20243822 | C2 | semidirect |
| 3. #20243592 | C2 | semidirect |
| 5. #20241752 | C2 | semidirect |
| 6. #20241293 | C2 | semidirect |
| 243. C47 | #10562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20243852 | 2 |
| #20243822 | 2 |
| #20243592 | 2 |
| #20241956 | 2 |
| #20241752 | 2 |
| #20241293 | 2 |
| C47×#3193 | 2 |
| #10562 | 47 |