Finite Group DatabasebetaFinite Group DatabasebetaOrder 1824.
148 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 148 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 |
|---|---|---|
| 2. C2×C3×Dic38 | C2 | semidirect |
| 3. C19×C4⋊Dic3 | C2 | semidirect |
| 4. Dic3⋊Dic19 | C2 | semidirect |
| 15. C2×Dic38 | D3 | semidirect |
| 22. C2×D57 | Q8 | semidirect |
| 47. C3×C19 | C22⋊Q8 | semidirect |
| 51. C4⋊Dic3 | D19 | semidirect |
| 65. C19 | #946 | semidirect |
| 98. C3 | #10597343 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D57 | 2 |
| C2×C3×Dic38 | 2 |
| C19×C4⋊Dic3 | 2 |
| Dic3⋊Dic19 | 2 |
| #11744833 | 2 |
| #10597343 | 3 |
| #946 | 19 |