Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
306 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 93 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. #20244993 | C2 | semidirect |
| 4. #20244168 | C2 | semidirect |
| 5. #20241504 | C2 | semidirect |
| 6. #20241493 | C2 | semidirect |
| 13. #15688939 | C4 | semidirect |
| 14. #15688936 | C4 | semidirect |
| 162. C47 | #13156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245137 | 2 |
| C2×#15688933 | 2 |
| #20244993 | 2 |
| #20244168 | 2 |
| #20241504 | 2 |
| #20241493 | 2 |
| C47×#1976 | 2 |
| #13156 | 47 |