Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
800 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 800 conjugacy classes of subgroups — too many to draw. Only its 209 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. #11927018 | C2 | semidirect |
| 3. #11926518 | C2 | semidirect |
| 4. #11926517 | C2 | semidirect |
| 5. #99×D19 | C2 | semidirect |
| 6. C19×#410 | C2 | semidirect |
| 10. C2×#64545 | C4 | semidirect |
| 11. C2×D4×D19 | C4 | semidirect |
| 13. C2×#64541 | C4 | semidirect |
| 15. C22×D76 | C4 | semidirect |
| 17. C19×#117 | C22 | semidirect |
| 18. #10597372 | C22 | semidirect |
| 20. C22⋊C4×D19 | C22 | semidirect |
| 22. C19×#99 | C22 | semidirect |
| 23. #10597291 | C22 | semidirect |
| 24. #10597263 | C22 | semidirect |
| 25. C23×D19 | C2×C4 | semidirect |
| 29. C2×Q8×C19 | C2×C4 | semidirect |
| 30. C2×D4×C19 | C2×C4 | semidirect |
| 32. C22×C4×C19 | C2×C4 | semidirect |
| 34. C2×C22⋊D19 | C2×C4 | semidirect |
| 47. C2×D76 | C2×C4 | semidirect |
| 48. C2×D76 | C2×C4 | semidirect |
| 52. C2×C4×D19 | C2×C4 | semidirect |
| 53. C2×C4×D19 | C2×C4 | semidirect |
| 54. C2×Dic38 | C2×C4 | semidirect |
| 119. #410 | D19 | semidirect |
| 140. #117 | C2×D19 | semidirect |
| 144. #99 | C2×D19 | semidirect |
| 145. C19 | #2883 | semidirect |
| 156. C2×Q8 | C4×D19 | semidirect |
| 169. C2×D4 | C4×D19 | semidirect |
| 174. C22×C4 | C4×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597435 | 2 |
| #11927018 | 2 |
| #11926518 | 2 |
| #11926517 | 2 |
| #99×D19 | 2 |
| C19×#410 | 2 |
| #2883 | 19 |