Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
530 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20241268 | C2 | semidirect |
| 4. #20241256 | C2 | semidirect |
| 11. #15688989 | C4 | semidirect |
| 12. #15688983 | C4 | semidirect |
| 15. C4×C4⋊Dic47 | C4 | semidirect |
| 16. C2×C47⋊#95 | C4 | semidirect |
| 212. C47 | #8760 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20246298 | 2 |
| #20243376 | 2 |
| #20241268 | 2 |
| #20241256 | 2 |
| C47×#1459 | 2 |
| #8760 | 47 |