Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
526 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 123 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×#10597365 | C2 | semidirect |
| 2. C2×D8×D19 | C2 | semidirect |
| 3. #11927187 | C2 | semidirect |
| 4. #11926782 | C2 | semidirect |
| 5. #11926777 | C2 | semidirect |
| 6. #11926756 | C2 | semidirect |
| 7. #11926693 | C2 | semidirect |
| 8. #11926688 | C2 | semidirect |
| 9. C4×D152 | C2 | semidirect |
| 10. C8×D76 | C2 | semidirect |
| 11. C19×#495 | C2 | semidirect |
| 12. C2×#64545 | C22 | semidirect |
| 14. C2×Q16×C19 | C22 | semidirect |
| 15. C2×SD16×C19 | C22 | semidirect |
| 17. C19×#124 | C22 | semidirect |
| 19. C2×#64527 | C22 | semidirect |
| 20. #10597384 | C22 | semidirect |
| 26. C2×C8×D19 | C22 | semidirect |
| 32. C4×D76 | C22 | semidirect |
| 33. C4×C8×C19 | C22 | semidirect |
| 34. #10597292 | C22 | semidirect |
| 35. #10597289 | C22 | semidirect |
| 36. #10597278 | C22 | semidirect |
| 38. (C2×D19)⋊C8 | C22 | semidirect |
| 39. #10597275 | C22 | semidirect |
| 40. C4⋊(C19⋊C8) | C22 | semidirect |
| 77. D152 | D4 | semidirect |
| 128. C2×D19 | #135 | semidirect |
| 140. #495 | D19 | semidirect |
| 158. C2×Q16 | C2×D19 | semidirect |
| 160. C2×SD16 | C2×D19 | semidirect |
| 167. #124 | C2×D19 | semidirect |
| 183. C4×C8 | C2×D19 | semidirect |
| 184. C19 | #3280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597365 | 2 |
| C2×D8×D19 | 2 |
| #11927187 | 2 |
| #11926782 | 2 |
| #11926777 | 2 |
| #11926756 | 2 |
| #11926693 | 2 |
| #11926688 | 2 |
| C4×D152 | 2 |
| C8×D76 | 2 |
| C19×#495 | 2 |
| #3280 | 19 |