Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
466 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 4. #20241861 | C2 | semidirect |
| 5. #20241732 | C2 | semidirect |
| 6. #20241249 | C2 | semidirect |
| 7. C47×#3113 | C2 | semidirect |
| 182. #3113 | D47 | semidirect |
| 218. C47 | #10044 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254586 | 2 |
| #20253419 | 2 |
| #20242022 | 2 |
| #20241861 | 2 |
| #20241732 | 2 |
| #20241249 | 2 |
| C47×#3113 | 2 |
| #10044 | 47 |