Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
326 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 73 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. #11926508 | C2 | semidirect |
| 3. #11926277 | C2 | semidirect |
| 4. C19×#381 | C2 | semidirect |
| 7. C22×D76 | C4 | semidirect |
| 11. #10597376 | C4 | semidirect |
| 14. C2×C4⋊Dic19 | C4 | semidirect |
| 17. C19×#95 | C22 | semidirect |
| 19. C22⋊(C19⋊C8) | C22 | semidirect |
| 98. #381 | D19 | semidirect |
| 121. #95 | C2×D19 | semidirect |
| 122. C19 | #1510 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597376 | 2 |
| #11926508 | 2 |
| #11926277 | 2 |
| C19×#381 | 2 |
| #1510 | 19 |