Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
166 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 3. #11926922 | C2 | semidirect |
| 5. Dic19⋊C16 | C2 | semidirect |
| 6. #11926347 | C2 | semidirect |
| 7. C19×#358 | C2 | semidirect |
| 69. Dic19 | SD32 | semidirect |
| 76. #358 | D19 | semidirect |
| 94. C19 | #2208 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597257 | 2 |
| C2×#10597285 | 2 |
| #11926922 | 2 |
| #11926626 | 2 |
| Dic19⋊C16 | 2 |
| #11926347 | 2 |
| C19×#358 | 2 |
| #2208 | 19 |