Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
800 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 800 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 |
|---|---|---|
| 2. C2×D4×Dic19 | C2 | semidirect |
| 3. C22×(C2×D19)⋊C4 | C2 | semidirect |
| 4. #11926466 | C2 | semidirect |
| 5. #11926459 | C2 | semidirect |
| 6. #11926434 | C2 | semidirect |
| 7. #11926421 | C2 | semidirect |
| 8. #11926407 | C2 | semidirect |
| 9. #11926402 | C2 | semidirect |
| 10. #11926399 | C2 | semidirect |
| 11. C2×C19×#123 | C2 | semidirect |
| 17. C23×Dic19 | C22 | semidirect |
| 19. C2×C4⋊C4×C19 | C22 | semidirect |
| 21. C2×C22⋊C4×C19 | C22 | semidirect |
| 24. C2×C22⋊Dic19 | C22 | semidirect |
| 33. C2×C4⋊Dic19 | C22 | semidirect |
| 34. C2×Dic19⋊C4 | C22 | semidirect |
| 35. C2×C4×Dic19 | C22 | semidirect |
| 36. C19⋊#95 | C22 | semidirect |
| 37. C19⋊#95 | C22 | semidirect |
| 38. C19⋊#95 | C22 | semidirect |
| 62. C22×Dic19 | D4 | semidirect |
| 162. C2×#123 | D19 | semidirect |
| 192. C2×C4⋊C4 | C2×D19 | semidirect |
| 203. C2×C22⋊C4 | C2×D19 | semidirect |
| 208. C19 | #2534 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597383 | 2 |
| C2×D4×Dic19 | 2 |
| C22×(C2×D19)⋊C4 | 2 |
| #11926466 | 2 |
| #11926459 | 2 |
| #11926434 | 2 |
| #11926421 | 2 |
| #11926407 | 2 |
| #11926402 | 2 |
| #11926399 | 2 |
| C2×C19×#123 | 2 |
| #2534 | 19 |