Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
500 conjugacy classes of subgroups; only the 217 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 217 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. C8×D76 | C2 | semidirect |
| 3. #11926609 | C2 | semidirect |
| 4. #11926597 | C2 | semidirect |
| 5. C22⋊C8×D19 | C2 | semidirect |
| 6. C19×#431 | C2 | semidirect |
| 12. C2×C8×D19 | C22 | semidirect |
| 17. C19×C4⋊C8 | C22 | semidirect |
| 19. C4×C8×C19 | C22 | semidirect |
| 21. (C2×D19)⋊C8 | C22 | semidirect |
| 22. C4⋊(C19⋊C8) | C22 | semidirect |
| 23. C4×C19⋊C8 | C22 | semidirect |
| 29. C2×D76 | C8 | semidirect |
| 49. C22×D19 | C2×C8 | semidirect |
| 53. C2×C4×C19 | C2×C8 | semidirect |
| 62. D76 | C2×C8 | semidirect |
| 63. D76 | C2×C8 | semidirect |
| 88. #431 | D19 | semidirect |
| 106. C4⋊C8 | C2×D19 | semidirect |
| 111. C4×C8 | C2×D19 | semidirect |
| 112. C19 | #2972 | semidirect |
| 148. C2×C4 | C8×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D76 | 2 |
| C8×D76 | 2 |
| #11926609 | 2 |
| #11926597 | 2 |
| C22⋊C8×D19 | 2 |
| C19×#431 | 2 |
| #2972 | 19 |