Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
388 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×C19⋊#95 | C2 | semidirect |
| 3. #11926279 | C2 | direct (N × H) |
| 4. C2×C19×C22⋊C8 | C2 | semidirect |
| 8. C22×D76 | C4 | semidirect |
| 12. #10597376 | C4 | semidirect |
| 15. C2×C4⋊Dic19 | C4 | semidirect |
| 17. C19×C22⋊C8 | C22 | semidirect |
| 19. C19⋊#95 | C22 | semidirect |
| 40. C2×D76 | C2×C4 | semidirect |
| 46. C4⋊Dic19 | C2×C4 | semidirect |
| 105. C2×C22⋊C8 | D19 | semidirect |
| 111. C2×C19 | #327 | semidirect |
| 128. C22⋊C8 | C2×D19 | semidirect |
| 131. C19 | C2×#327 | semidirect |
| 219. C2 | #11926279 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597376 | 2 |
| C2×C19⋊#95 | 2 |
| #11926279 | 2 |
| C2×C19×C22⋊C8 | 2 |
| C2×#327 | 19 |