Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
590 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 590 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 1. #20253781 | C2 | semidirect |
| 2. #20249499 | C2 | semidirect |
| 3. #20242106 | C2 | semidirect |
| 4. #20241986 | C2 | semidirect |
| 5. #20241896 | C2 | semidirect |
| 6. #20241280 | C2 | semidirect |
| 223. C47 | #10094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253781 | 2 |
| #20249499 | 2 |
| #20242106 | 2 |
| #20241986 | 2 |
| #20241896 | 2 |
| #20241280 | 2 |
| C47×#3213 | 2 |
| #10094 | 47 |