Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
412 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 141 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×#10597336 | C2 | semidirect |
| 3. #11926897 | C2 | direct (N × H) |
| 4. C2×#10597273 | C2 | semidirect |
| 5. C2×#10597267 | C2 | semidirect |
| 7. C2×C8×Dic19 | C2 | semidirect |
| 23. #10597336 | C22 | semidirect |
| 26. #10597273 | C22 | semidirect |
| 27. C8×Dic19 | C22 | semidirect |
| 28. #10597267 | C22 | semidirect |
| 111. C2×C19 | #488 | semidirect |
| 135. C19 | C2×#488 | semidirect |
| 209. C2 | #11926897 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597336 | 2 |
| C2×#10597382 | 2 |
| #11926897 | 2 |
| C2×#10597273 | 2 |
| C2×#10597267 | 2 |
| C2×#10597289 | 2 |
| C2×C8×Dic19 | 2 |
| C2×C19×#102 | 2 |
| C2×#488 | 19 |