Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
340 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 71 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. C22⋊C8×D19 | C2 | semidirect |
| 3. #11926403 | C2 | semidirect |
| 4. #11926279 | C2 | semidirect |
| 5. #11926278 | C2 | semidirect |
| 6. #11926277 | C2 | semidirect |
| 7. C19×#327 | C2 | semidirect |
| 9. C2×D4×D19 | C4 | semidirect |
| 13. #10597384 | C4 | semidirect |
| 18. #10597341 | C4 | semidirect |
| 19. C4⋊C4×D19 | C4 | semidirect |
| 22. C19×C22⋊C8 | C22 | semidirect |
| 23. C19×#95 | C22 | semidirect |
| 24. C19⋊#95 | C22 | semidirect |
| 25. C22⋊(C19⋊C8) | C22 | semidirect |
| 138. #327 | D19 | semidirect |
| 164. C22⋊C8 | C2×D19 | semidirect |
| 166. #95 | C2×D19 | semidirect |
| 167. C19 | #1519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #121×D19 | 2 |
| C22⋊C8×D19 | 2 |
| #11926403 | 2 |
| #11926279 | 2 |
| #11926278 | 2 |
| #11926277 | 2 |
| C19×#327 | 2 |
| #1519 | 19 |