Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
546 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 125 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×#10597360 | C2 | semidirect |
| 2. #11927197 | C2 | semidirect |
| 3. #11927179 | C2 | semidirect |
| 4. #11926787 | C2 | semidirect |
| 5. #11926746 | C2 | semidirect |
| 6. #11926736 | C2 | semidirect |
| 7. #11926693 | C2 | semidirect |
| 8. #11926688 | C2 | semidirect |
| 9. C4×D152 | C2 | semidirect |
| 10. #11926623 | C2 | semidirect |
| 11. C19×#492 | C2 | semidirect |
| 12. C2×#64545 | C22 | semidirect |
| 15. C2×SD16×C19 | C22 | semidirect |
| 16. C2×SD16×C19 | C22 | semidirect |
| 17. C19×C4⋊Q8 | C22 | semidirect |
| 19. #10597392 | C22 | semidirect |
| 24. C2×#64525 | C22 | semidirect |
| 27. C2×#64515 | C22 | semidirect |
| 33. C4×D76 | C22 | semidirect |
| 34. C4×C8×C19 | C22 | semidirect |
| 35. #10597292 | C22 | semidirect |
| 36. #10597289 | C22 | semidirect |
| 38. #10597278 | C22 | semidirect |
| 39. (C2×D19)⋊C8 | C22 | semidirect |
| 40. #10597275 | C22 | semidirect |
| 41. C4⋊(C19⋊C8) | C22 | semidirect |
| 81. D152 | D4 | semidirect |
| 110. D76 | C2×D4 | semidirect |
| 117. C8×C19 | C2×D4 | semidirect |
| 136. C4×C19 | AGL(1,ℤ/8) | semidirect |
| 145. #492 | D19 | semidirect |
| 165. C2×SD16 | C2×D19 | semidirect |
| 166. C2×SD16 | C2×D19 | semidirect |
| 170. C4⋊Q8 | C2×D19 | semidirect |
| 189. C4×C8 | C2×D19 | semidirect |
| 190. C19 | #3272 | semidirect |
| 267. C8 | D4×D19 | semidirect |
| 287. C4 | #10597360 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597360 | 2 |
| #11927197 | 2 |
| #11927179 | 2 |
| #11926787 | 2 |
| #11926746 | 2 |
| #11926736 | 2 |
| #11926693 | 2 |
| #11926688 | 2 |
| C4×D152 | 2 |
| #11926623 | 2 |
| C19×#492 | 2 |
| #3272 | 19 |