Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
502 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 502 conjugacy classes of subgroups — too many to draw. Only its 108 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×C4×C32⋊C9 | C2 | semidirect |
| 3. C3×#66316 | C2 | semidirect |
| 5. C3×C4×C3⋊D9 | C3 | semidirect |
| 6. C4×#4169 | C3 | direct (N × H) |
| 8. C3×#4169 | C4 | direct (N × H) |
| 14. C32×C4×C9 | C2×C3 | semidirect |
| 15. C3×C3⋊Dic9 | C2×C3 | semidirect |
| 18. C4×C32⋊C9 | C2×C3 | semidirect |
| 19. #66316 | C2×C3 | semidirect |
| 20. C3×C32⋊C9 | C2×C4 | semidirect |
| 26. C4×C3⋊D9 | C32 | semidirect |
| 32. C3×C3⋊D9 | C3×C4 | semidirect |
| 35. #4169 | C3×C4 | direct (N × H) |
| 47. C33×C4 | D9 | semidirect |
| 63. C3×C4×C9 | C2×C32 | semidirect |
| 64. C3⋊Dic9 | C2×C32 | semidirect |
| 68. C32×C9 | C2×C3×C4 | semidirect |
| 70. C32⋊C9 | C2×C3×C4 | semidirect |
| 101. C3⋊D9 | C32×C4 | semidirect |
| 125. C32×C4 | C3×D9 | semidirect |
| 147. C33 | C4×D9 | semidirect |
| 156. C3×C9 | C2×C32×C4 | semidirect |
| 203. C3×C4 | #4169 | direct (N × H) |
| 223. C32 | C3×C4×D9 | semidirect |
| 247. C4 | C3×#4169 | direct (N × H) |
| 253. C3 | C4×#4169 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C3×#4169 | 2 |
| C3×C4×C32⋊C9 | 2 |
| C3×#66316 | 2 |
| C32×C4×C3⋊D3 | 3 |
| C3×C4×C3⋊D9 | 3 |
| C4×#4169 | 3 |