Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
754 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 754 conjugacy classes of subgroups — too many to draw. Only its 153 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 |
|---|---|---|
| 2. C2×#10597355 | C2 | semidirect |
| 3. C2×#10597370 | C2 | semidirect |
| 4. #11926708 | C2 | semidirect |
| 5. #11926702 | C2 | semidirect |
| 6. #11926697 | C2 | semidirect |
| 7. #11926546 | C2 | semidirect |
| 8. C19×#407 | C2 | semidirect |
| 19. C22×Dic38 | C22 | semidirect |
| 20. C2×M16×C19 | C22 | semidirect |
| 22. C2×C4⋊Dic19 | C22 | semidirect |
| 26. #10597370 | C22 | semidirect |
| 29. C2×Dic76 | C22 | semidirect |
| 30. C2×#64516 | C22 | semidirect |
| 32. C19×C22⋊C8 | C22 | semidirect |
| 33. #10597278 | C22 | semidirect |
| 34. #10597273 | C22 | semidirect |
| 127. C22×C19 | #137 | semidirect |
| 147. #407 | D19 | semidirect |
| 169. C2×M16 | C2×D19 | semidirect |
| 180. C22⋊C8 | C2×D19 | semidirect |
| 181. C19 | #3007 | semidirect |
| 277. C22 | #10597355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#64541 | 2 |
| C2×#10597355 | 2 |
| C2×#10597370 | 2 |
| #11926708 | 2 |
| #11926702 | 2 |
| #11926697 | 2 |
| #11926546 | 2 |
| C19×#407 | 2 |
| #3007 | 19 |