Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
364 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 98 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. C3×#66326 | C2 | direct (N × H) |
| 3. C2×C3×C3⋊Dic9 | C3 | semidirect |
| 5. C2×#66326 | C3 | direct (N × H) |
| 6. C2×C3×#732 | C4 | semidirect |
| 11. C3×C3⋊Dic9 | C2×C3 | semidirect |
| 15. #66326 | C2×C3 | direct (N × H) |
| 16. C3×#732 | C2×C4 | semidirect |
| 19. C2×C3⋊Dic9 | C32 | semidirect |
| 26. C2×C32×C9 | C3×C4 | semidirect |
| 30. C2×#732 | C3×C4 | semidirect |
| 45. C3⋊Dic9 | C2×C32 | semidirect |
| 50. C32×C9 | C2×C3×C4 | semidirect |
| 52. #732 | C2×C3×C4 | semidirect |
| 79. C2×C3×C9 | C32×C4 | semidirect |
| 110. C3×C9 | C2×C32×C4 | semidirect |
| 176. C2×C3 | #66326 | direct (N × H) |
| 187. C3 | C2×#66326 | direct (N × H) |
| 189. C2 | C3×#66326 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C3×#732 | 2 |
| C3×#66326 | 2 |
| C2×C3×C3⋊Dic9 | 3 |
| C2×C3×(C3⋊Dic3)⋊C3 | 3 |
| C2×#66326 | 3 |