Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
426 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 95 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. #20243673 | C2 | semidirect |
| 4. #20243607 | C2 | semidirect |
| 5. #20241517 | C2 | semidirect |
| 6. #20241511 | C2 | semidirect |
| 218. C47 | #12962 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245029 | 2 |
| #20243807 | 2 |
| #20243673 | 2 |
| #20243607 | 2 |
| #20241517 | 2 |
| #20241511 | 2 |
| C47×#2977 | 2 |
| #12962 | 47 |