Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
270 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 19. C47×#365 | C4 | semidirect |
| 135. #365 | Dic47 | semidirect |
| 138. C47 | #13114 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244132 | 2 |
| #20243296 | 2 |
| #20241498 | 2 |
| #20241497 | 2 |
| #20241486 | 2 |
| #20241471 | 2 |
| C2×C47×#365 | 2 |
| #13114 | 47 |