Finite Group DatabasebetaFinite Group DatabasebetaOrder 1824.
152 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 46 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 |
| 3. C4×Dic57 | C2 | semidirect |
| 4. C19×(C2×D3)⋊C4 | C2 | semidirect |
| 5. C3×(C2×D19)⋊C4 | C2 | semidirect |
| 6. (C2×D3)⋊Dic19 | C2 | semidirect |
| 7. (C2×D19)⋊Dic3 | C2 | semidirect |
| 23. (C2×D19)⋊C4 | D3 | semidirect |
| 64. C3×C19 | #124 | semidirect |
| 70. (C2×D3)⋊C4 | D19 | semidirect |
| 87. C19 | #885 | semidirect |
| 133. C3 | #10597331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#90698 | 2 |
| C2×#90695 | 2 |
| C4×Dic57 | 2 |
| C19×(C2×D3)⋊C4 | 2 |
| C3×(C2×D19)⋊C4 | 2 |
| (C2×D3)⋊Dic19 | 2 |
| (C2×D19)⋊Dic3 | 2 |
| #10597331 | 3 |
| #885 | 19 |