Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
340 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 97 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×C22⋊(C19⋊C8) | C2 | semidirect |
| 2. #11926404 | C2 | semidirect |
| 3. #11926278 | C2 | semidirect |
| 6. C22×D4×C19 | C4 | semidirect |
| 10. C19×#121 | C4 | semidirect |
| 12. C2×C4⋊C4×C19 | C4 | semidirect |
| 17. C19⋊#95 | C22 | semidirect |
| 19. C22⋊(C19⋊C8) | C22 | semidirect |
| 115. C22×D4 | Dic19 | semidirect |
| 120. #121 | Dic19 | semidirect |
| 123. C2×C4⋊C4 | Dic19 | semidirect |
| 129. C19 | #1519 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊(C19⋊C8) | 2 |
| #11926404 | 2 |
| #11926278 | 2 |
| C2×C19×#121 | 2 |
| #1519 | 19 |