Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
196 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 57 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×#10597257 | C2 | semidirect |
| 2. C2×#10597284 | C2 | semidirect |
| 3. C2×#10597285 | C2 | semidirect |
| 4. #11926922 | C2 | semidirect |
| 6. C16×Dic19 | C2 | semidirect |
| 7. C2×C19×SD32 | C2 | semidirect |
| 42. C16×C19 | D4 | semidirect |
| 43. C19⋊C16 | D4 | semidirect |
| 72. Dic19 | SD32 | semidirect |
| 76. C2×SD32 | D19 | semidirect |
| 99. C19 | #2248 | semidirect |
| 120. C16 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597257 | 2 |
| C2×#10597284 | 2 |
| C2×#10597285 | 2 |
| #11926922 | 2 |
| #11926919 | 2 |
| C16×Dic19 | 2 |
| C2×C19×SD32 | 2 |
| #2248 | 19 |