Finite Group DatabasebetaFinite Group DatabasebetaOrder 1824.
136 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 54 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 |
|---|---|---|
| 28. Dic57 | Q8 | semidirect |
| 30. C3×Dic19 | Q8 | semidirect |
| 53. Dic19 | Dic6 | semidirect |
| 54. C3×C19 | C4⋊Q8 | semidirect |
| 75. C19 | #888 | semidirect |
| 111. C3 | #10597390 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C19×Dic6 | 2 |
| C2×#90698 | 2 |
| #11744887 | 2 |
| C3×Dic19⋊C4 | 2 |
| #11744835 | 2 |
| Dic19⋊Dic3 | 2 |
| Dic3×Dic19 | 2 |
| #10597390 | 3 |
| #888 | 19 |