Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
698 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 698 conjugacy classes of subgroups — too many to draw. Only its 161 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. #11927342 | C2 | semidirect |
| 2. #11927118 | C2 | semidirect |
| 3. #11926727 | C2 | semidirect |
| 4. #11926717 | C2 | semidirect |
| 5. #11926561 | C2 | semidirect |
| 6. C2×#10597293 | C2 | semidirect |
| 7. C2×C19×2−1+4 | C2 | semidirect |
| 17. #10597397 | C22 | semidirect |
| 19. #10597395 | C22 | semidirect |
| 20. #10597393 | C22 | semidirect |
| 22. #10597390 | C22 | semidirect |
| 28. #10597294 | C22 | semidirect |
| 29. #10597293 | C22 | semidirect |
| 118. C2×2−1+4 | D19 | semidirect |
| 153. C19 | #3020 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927342 | 2 |
| #11927118 | 2 |
| #11926727 | 2 |
| #11926717 | 2 |
| #11926561 | 2 |
| C2×#10597293 | 2 |
| C2×C19×2−1+4 | 2 |
| #3020 | 19 |