Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
480 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 480 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. #20241273 | C2 | semidirect |
| 4. #20241242 | C2 | semidirect |
| 10. #15688991 | C4 | semidirect |
| 12. #15688983 | C4 | semidirect |
| 16. #15688969 | C4 | semidirect |
| 17. C2×C47⋊#95 | C4 | semidirect |
| 196. C47 | #8777 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20246328 | 2 |
| C4×#13093939 | 2 |
| #20241273 | 2 |
| #20241242 | 2 |
| C47×#1465 | 2 |
| #8777 | 47 |