Finite Group DatabasebetaFinite Group DatabasebetaOrder 1824.
136 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 44 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×D228 | C2 | semidirect |
| 2. C3×#64541 | C2 | semidirect |
| 3. C19×#208 | C2 | semidirect |
| 4. #11744824 | C2 | semidirect |
| 5. #11744819 | C2 | semidirect |
| 12. C3×D76 | C22 | semidirect |
| 14. C3×Dic38 | C22 | semidirect |
| 15. C19×C3⋊C8 | C22 | semidirect |
| 16. #64541 | D3 | semidirect |
| 33. D76 | C2×D3 | semidirect |
| 35. Dic38 | C2×D3 | semidirect |
| 49. C3×C19 | AGL(1,ℤ/8) | semidirect |
| 54. #208 | D19 | semidirect |
| 68. C3⋊C8 | C2×D19 | semidirect |
| 69. C19 | #949 | semidirect |
| 102. C3 | #10597354 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D228 | 2 |
| C3×#64541 | 2 |
| C19×#208 | 2 |
| #11744824 | 2 |
| #11744819 | 2 |
| #10597354 | 3 |
| #949 | 19 |