Finite Group DatabasebetaFinite Group DatabasebetaOrder 1824.
120 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 44 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. C19×Dic3⋊C4 | C2 | semidirect |
| 3. C3×C4×Dic19 | C2 | semidirect |
| 4. Dic3⋊Dic19 | C2 | semidirect |
| 5. #11744835 | C2 | semidirect |
| 22. C4×Dic19 | D3 | semidirect |
| 55. C3×C19 | #126 | semidirect |
| 62. Dic3⋊C4 | D19 | semidirect |
| 75. C19 | #876 | semidirect |
| 114. C3 | #10597344 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11744889 | 2 |
| C19×Dic3⋊C4 | 2 |
| C3×C4×Dic19 | 2 |
| Dic3⋊Dic19 | 2 |
| #11744835 | 2 |
| #11744833 | 2 |
| #10597344 | 3 |
| #876 | 19 |