Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
284 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 75 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. C4×#6910 | C2 | semidirect |
| 3. #11757587 | C2 | semidirect |
| 6. C4×#4176 | C3 | semidirect |
| 8. #92283 | C4 | direct (N × H) |
| 12. C3×C4×3−1+2 | D3 | semidirect |
| 18. C4×#731 | C2×C3 | semidirect |
| 19. #66323 | C2×C3 | semidirect |
| 20. #6910 | C2×C4 | semidirect |
| 33. #4176 | C3×C4 | semidirect |
| 53. C3×C4×C9 | C3×D3 | semidirect |
| 57. C3×3−1+2 | C4×D3 | semidirect |
| 60. #731 | C2×C3×C4 | semidirect |
| 116. C3×C9 | C3×C4×D3 | semidirect |
| 172. C4 | #92283 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92283 | 2 |
| C4×#6910 | 2 |
| #11757587 | 2 |
| C3×C4×#272 | 3 |
| C4×D3×3−1+2 | 3 |
| C4×#4176 | 3 |