Finite Group DatabasebetaFinite Group DatabasebetaOrder 1944.
295 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 295 conjugacy classes of subgroups — too many to draw. Only its 93 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. #6913⋊C4 | C2 | direct (N × H) |
| 3. C2×#66410 | C3 | semidirect |
| 5. C2×#66325 | C3 | semidirect |
| 6. C2×#66323 | C3 | semidirect |
| 7. C2×#66321 | C3 | semidirect |
| 8. C2×#6913 | C4 | semidirect |
| 13. #66410 | C2×C3 | semidirect |
| 21. #66325 | C2×C3 | semidirect |
| 22. #66323 | C2×C3 | semidirect |
| 23. #66321 | C2×C3 | semidirect |
| 24. #6913 | C2×C4 | semidirect |
| 34. C2×#737 | C3×C4 | semidirect |
| 36. C2×C3×3−1+2 | Dic3 | semidirect |
| 40. C2×#732 | C3×C4 | semidirect |
| 44. C2×#731 | C3×C4 | semidirect |
| 74. #737 | C2×C3×C4 | semidirect |
| 75. C3×3−1+2 | C2×Dic3 | semidirect |
| 77. #732 | C2×C3×C4 | semidirect |
| 79. #731 | C2×C3×C4 | semidirect |
| 223. C2 | #6913⋊C4 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#6913 | 2 |
| #6913⋊C4 | 2 |
| C2×#66410 | 3 |
| C2×Dic3×3−1+2 | 3 |
| C2×#66325 | 3 |
| C2×#66323 | 3 |
| C2×#66321 | 3 |