Finite Group DatabasebetaFinite Group DatabasebetaOrder 1824.
140 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 66 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 | direct (N × H) |
| 25. C3×C4×C19 | Q8 | semidirect |
| 47. C4×C19 | Dic6 | semidirect |
| 52. C3×C19 | C4×Q8 | semidirect |
| 72. C19 | C4×Dic6 | semidirect |
| 83. C3×C4 | Dic38 | semidirect |
| 106. C4 | #90698 | direct (N × H) |
| 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 |
| C4×Dic57 | 2 |
| C4×Dic3×C19 | 2 |
| C3×C4×Dic19 | 2 |
| Dic3⋊Dic19 | 2 |
| #11744835 | 2 |
| Dic19⋊Dic3 | 2 |
| C4×Dic38 | 3 |
| C4×Dic6 | 19 |