Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
370 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 113 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. #11927346 | C2 | semidirect |
| 2. #11926981 | C2 | semidirect |
| 3. #11926979 | C2 | semidirect |
| 4. #11926977 | C2 | semidirect |
| 5. C2×D304 | C2 | semidirect |
| 6. D16×D19 | C2 | semidirect |
| 7. #11926960 | C2 | semidirect |
| 8. C19×#508 | C2 | semidirect |
| 10. C19×#135 | C22 | semidirect |
| 12. #10597365 | C22 | semidirect |
| 14. D8×D19 | C22 | semidirect |
| 15. C2×D152 | C22 | semidirect |
| 17. C19×Q32 | C22 | semidirect |
| 18. C19×SD32 | C22 | semidirect |
| 19. C19×D16 | C22 | semidirect |
| 20. C2×C16×C19 | C22 | semidirect |
| 21. #10597285 | C22 | semidirect |
| 22. #10597283 | C22 | semidirect |
| 23. #10597269 | C22 | semidirect |
| 24. D304 | C22 | semidirect |
| 25. D304 | C22 | semidirect |
| 26. #10597255 | C22 | semidirect |
| 27. C16×D19 | C22 | semidirect |
| 84. #508 | D19 | semidirect |
| 97. #135 | C2×D19 | semidirect |
| 101. Q32 | C2×D19 | semidirect |
| 103. SD32 | C2×D19 | semidirect |
| 107. D16 | C2×D19 | semidirect |
| 111. C2×C16 | C2×D19 | semidirect |
| 112. C19 | #3415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11927346 | 2 |
| #11926981 | 2 |
| #11926979 | 2 |
| #11926977 | 2 |
| C2×D304 | 2 |
| D16×D19 | 2 |
| #11926960 | 2 |
| C19×#508 | 2 |
| #3415 | 19 |