Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 1. C2×#13094050 | C2 | semidirect |
| 2. C2×#13094030 | C2 | semidirect |
| 3. #15689704 | C2 | semidirect |
| 4. #15689690 | C2 | semidirect |
| 5. #15689375 | C2 | semidirect |
| 6. #15689368 | C2 | semidirect |
| 7. #15689358 | C2 | semidirect |
| 8. #15689351 | C2 | semidirect |
| 9. #15689163 | C2 | semidirect |
| 10. #15689120 | C2 | semidirect |
| 11. C2×#102×C47 | C2 | semidirect |
| 19. C2×#10625324 | C22 | semidirect |
| 20. C2×C8×D47 | C22 | semidirect |
| 24. #13094004 | C22 | semidirect |
| 26. #13093999 | C22 | semidirect |
| 32. #13093957 | C22 | semidirect |
| 33. #13093955 | C22 | semidirect |
| 34. #13093949 | C22 | semidirect |
| 35. #13093949 | C22 | semidirect |
| 36. #13093946 | C22 | semidirect |
| 37. #13093946 | C22 | semidirect |
| 81. #10625329 | D4 | semidirect |
| 162. C2×#102 | D47 | semidirect |
| 163. C47 | #3062 | semidirect |