Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 129 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×#10597350 | C2 | semidirect |
| 2. #11926985 | C2 | semidirect |
| 3. #11926984 | C2 | semidirect |
| 4. #11926980 | C2 | semidirect |
| 5. #11926979 | C2 | semidirect |
| 6. #11926974 | C2 | semidirect |
| 7. C2×#10597269 | C2 | semidirect |
| 8. C2×C19×#135 | C2 | semidirect |
| 14. C19×#135 | C22 | semidirect |
| 15. C2×Q16×C19 | C22 | semidirect |
| 17. C2×D8×C19 | C22 | semidirect |
| 19. C2×Dic76 | C22 | semidirect |
| 23. #10597350 | C22 | semidirect |
| 24. C2×D152 | C22 | semidirect |
| 26. #10597286 | C22 | semidirect |
| 27. #10597285 | C22 | semidirect |
| 28. #10597284 | C22 | semidirect |
| 29. #10597283 | C22 | semidirect |
| 30. #10597269 | C22 | semidirect |
| 31. #10597269 | C22 | semidirect |
| 32. C2×C19⋊C16 | C22 | semidirect |
| 116. C2×#135 | D19 | semidirect |
| 138. #135 | C2×D19 | semidirect |
| 140. C2×Q16 | C2×D19 | semidirect |
| 144. C2×D8 | C2×D19 | semidirect |
| 153. C19 | #3414 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597350 | 2 |
| #11926985 | 2 |
| #11926984 | 2 |
| #11926980 | 2 |
| #11926979 | 2 |
| #11926974 | 2 |
| C2×#10597269 | 2 |
| C2×C19×#135 | 2 |
| #3414 | 19 |