Finite Group DatabasebetaFinite Group DatabasebetaOrder 1824.
148 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|---|
| 1. C2×#90698 | C2 | semidirect |
| 4. C19×C4⋊Dic3 | C2 | semidirect |
| 5. C3×Dic19⋊C4 | C2 | semidirect |
| 6. Dic19⋊Dic3 | C2 | semidirect |
| 24. Dic19⋊C4 | D3 | semidirect |
| 28. C2×D57 | Q8 | semidirect |
| 59. C3×C19 | C22⋊Q8 | semidirect |
| 66. C4⋊Dic3 | D19 | semidirect |
| 81. C19 | #897 | semidirect |
| 122. C3 | #10597342 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#90698 | 2 |
| C2×D57⋊C4 | 2 |
| #11744889 | 2 |
| C19×C4⋊Dic3 | 2 |
| C3×Dic19⋊C4 | 2 |
| Dic19⋊Dic3 | 2 |
| #11744833 | 2 |
| #10597342 | 3 |
| #897 | 19 |