Finite Group DatabasebetaFinite Group DatabasebetaOrder 1824.
148 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 57 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. C2×Dic114 | C2 | semidirect |
| 5. C4⋊Dic57 | C2 | semidirect |
| 6. #11744887 | C2 | semidirect |
| 7. #11744887 | C2 | semidirect |
| 27. C22×C3×C19 | Q8 | semidirect |
| 51. C22×C19 | Dic6 | semidirect |
| 59. C3×C19 | C22⋊Q8 | semidirect |
| 81. C19 | #878 | semidirect |
| 91. C22×C3 | Dic38 | semidirect |
| 114. C22 | Dic114 | semidirect |
| 122. C3 | #10597324 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic57 | 2 |
| C2×Dic114 | 2 |
| C3×C22⋊C4×C19 | 2 |
| #11744894 | 2 |
| C4⋊Dic57 | 2 |
| #11744887 | 2 |
| #10597324 | 3 |
| #878 | 19 |