Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
656 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 656 conjugacy classes of subgroups — too many to draw. Only its 145 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×#10597357 | C2 | semidirect |
| 2. #11927092 | C2 | semidirect |
| 3. #127×D19 | C2 | semidirect |
| 4. #11926932 | C2 | semidirect |
| 5. #11926920 | C2 | semidirect |
| 6. #11926917 | C2 | semidirect |
| 7. #11926916 | C2 | semidirect |
| 8. C4×#64515 | C2 | semidirect |
| 9. C19×#493 | C2 | semidirect |
| 13. C2×D8×C19 | C22 | semidirect |
| 15. C19×#127 | C22 | semidirect |
| 19. #10597382 | C22 | semidirect |
| 21. C2×#64526 | C22 | semidirect |
| 22. C2×#64525 | C22 | semidirect |
| 24. C2×#64516 | C22 | semidirect |
| 28. #10597315 | C22 | semidirect |
| 29. C4×C8×C19 | C22 | semidirect |
| 30. #10597272 | C22 | semidirect |
| 31. C4×C19⋊C8 | C22 | semidirect |
| 60. #64515 | D4 | semidirect |
| 85. C8×C19 | C2×D4 | semidirect |
| 86. C19⋊C8 | C2×D4 | semidirect |
| 98. C4×C19 | AGL(1,ℤ/8) | semidirect |
| 108. #493 | D19 | semidirect |
| 125. C2×D8 | C2×D19 | semidirect |
| 132. #127 | C2×D19 | semidirect |
| 139. C4×C8 | C2×D19 | semidirect |
| 140. C19 | #3151 | semidirect |
| 195. C8 | D4×D19 | semidirect |
| 209. C4 | #10597357 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597357 | 2 |
| #11927092 | 2 |
| #127×D19 | 2 |
| #11926932 | 2 |
| #11926920 | 2 |
| #11926917 | 2 |
| #11926916 | 2 |
| C4×#64515 | 2 |
| C19×#493 | 2 |
| #3151 | 19 |