Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
252 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
| 123. #365 | Dic47 | semidirect |
| 126. C47 | #13115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244142 | 2 |
| #20243275 | 2 |
| #20241503 | 2 |
| #20241501 | 2 |
| #20241489 | 2 |
| #20241471 | 2 |
| C47×#2155 | 2 |
| #13115 | 47 |