Finite Group DatabasebetaFinite Group DatabasebetaOrder 1824.
136 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 136 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. C19×#208 | C2 | semidirect |
| 3. C3×#64520 | C2 | semidirect |
| 4. #11744817 | C2 | semidirect |
| 5. D57⋊C8 | C2 | semidirect |
| 14. C3×C19⋊C8 | C22 | semidirect |
| 15. C19×C3⋊C8 | C22 | semidirect |
| 18. #64520 | D3 | semidirect |
| 37. C19⋊C8 | C2×D3 | semidirect |
| 41. D57 | M16 | semidirect |
| 51. C3×C19 | C2×M16 | semidirect |
| 54. #208 | D19 | semidirect |
| 70. C3⋊C8 | C2×D19 | semidirect |
| 71. C19 | D3×M16 | semidirect |
| 106. C3 | M16×D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D57 | 2 |
| C19×#208 | 2 |
| C3×#64520 | 2 |
| #11744817 | 2 |
| D57⋊C8 | 2 |
| M16×D19 | 3 |
| D3×M16 | 19 |