Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
426 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 123 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. C2×#15688953 | C2 | semidirect |
| 2. C2×#15688930 | C2 | semidirect |
| 3. C2×C16×Dic47 | C2 | semidirect |
| 4. #20244277 | C2 | semidirect |
| 17. C2×Q32×C47 | C4 | semidirect |
| 18. C2×SD32×C47 | C4 | semidirect |
| 19. C2×D16×C47 | C4 | semidirect |
| 133. C2×Q32 | Dic47 | semidirect |
| 134. C2×SD32 | Dic47 | semidirect |
| 135. C2×D16 | Dic47 | semidirect |
| 145. C47 | #13241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688953 | 2 |
| C2×#15688930 | 2 |
| C2×C16×Dic47 | 2 |
| #20244277 | 2 |
| C2×C47×#508 | 2 |
| #13241 | 47 |