Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
552 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 185 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 |
|---|---|---|
| 3. #11926432 | C2 | semidirect |
| 4. #11926432 | C2 | semidirect |
| 5. #11926431 | C2 | semidirect |
| 6. #11926395 | C2 | semidirect |
| 7. C22⋊C4×Dic19 | C2 | semidirect |
| 8. C4×C22⋊Dic19 | C2 | semidirect |
| 19. #10597381 | C4 | semidirect |
| 44. C22×Dic19 | C2×C4 | semidirect |
| 54. C22⋊Dic19 | C2×C4 | semidirect |
| 57. Dic19⋊C4 | C2×C4 | semidirect |
| 158. C19 | #2374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597381 | 2 |
| #11926447 | 2 |
| #11926432 | 2 |
| #11926431 | 2 |
| #11926395 | 2 |
| C22⋊C4×Dic19 | 2 |
| C4×C22⋊Dic19 | 2 |
| C19×#386 | 2 |
| #2374 | 19 |