Finite Group DatabasebetaFinite Group DatabasebetaOrder 1824.
140 conjugacy classes of subgroups; only the 62 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 62 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 |
|---|---|---|
| 16. #90698 | C4 | semidirect |
| 31. Dic3×C19 | Q8 | semidirect |
| 52. C3×C19 | C4×Q8 | semidirect |
| 72. C19 | #887 | semidirect |
| 86. Dic3 | Dic38 | semidirect |
| 107. C3 | C4×Dic38 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#90698 | 2 |
| #11744887 | 2 |
| C4×Dic3×C19 | 2 |
| C3×Dic19⋊C4 | 2 |
| Dic3⋊Dic19 | 2 |
| Dic3×Dic19 | 2 |
| C4×Dic38 | 3 |
| #887 | 19 |