Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
624 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 624 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 1. #20252459 | C2 | semidirect |
| 2. #20245053 | C2 | semidirect |
| 3. #20243352 | C2 | semidirect |
| 4. #20241518 | C2 | semidirect |
| 19. C47×#456 | C4 | semidirect |
| 21. C47×#454 | C4 | semidirect |
| 203. #456 | Dic47 | semidirect |
| 205. #454 | Dic47 | semidirect |
| 219. C47 | #13053 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252459 | 2 |
| #20245053 | 2 |
| #20243352 | 2 |
| #20241518 | 2 |
| C47×#3018 | 2 |
| #13053 | 47 |