Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
584 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 137 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×#10597354 | C2 | semidirect |
| 2. C2×#10597378 | C2 | semidirect |
| 3. C2×#10597386 | C2 | semidirect |
| 4. #11927012 | C2 | semidirect |
| 5. #11926743 | C2 | semidirect |
| 6. #11926738 | C2 | semidirect |
| 7. #11926567 | C2 | semidirect |
| 8. #11926548 | C2 | semidirect |
| 9. C19×#418 | C2 | semidirect |
| 19. C2×#64526 | C22 | semidirect |
| 21. C2×#64525 | C22 | semidirect |
| 25. C2×D152 | C22 | semidirect |
| 26. C2×#64516 | C22 | semidirect |
| 27. #10597339 | C22 | semidirect |
| 28. #10597333 | C22 | semidirect |
| 32. C19×#102 | C22 | semidirect |
| 33. Dic19⋊C8 | C22 | semidirect |
| 34. #10597266 | C22 | semidirect |
| 48. #64541 | D4 | semidirect |
| 101. D76 | C2×D4 | semidirect |
| 105. Dic38 | C2×D4 | semidirect |
| 126. Dic19 | AGL(1,ℤ/8) | semidirect |
| 135. #418 | D19 | semidirect |
| 166. #102 | C2×D19 | semidirect |
| 167. C19 | #3038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597354 | 2 |
| C2×#10597378 | 2 |
| C2×#10597386 | 2 |
| #11927012 | 2 |
| #11926743 | 2 |
| #11926738 | 2 |
| #11926567 | 2 |
| #11926548 | 2 |
| C19×#418 | 2 |
| #3038 | 19 |