Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
556 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 556 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×#13094049 | C2 | semidirect |
| 2. D4×D188 | C2 | semidirect |
| 3. #15689499 | C2 | semidirect |
| 4. #15689374 | C2 | semidirect |
| 5. #15689323 | C2 | semidirect |
| 6. #15689315 | C2 | semidirect |
| 7. #15689268 | C2 | semidirect |
| 8. #15689256 | C2 | semidirect |
| 9. C4×#10625336 | C2 | semidirect |
| 10. #15689201 | C2 | semidirect |
| 11. C47×#550 | C2 | semidirect |
| 16. C2×#10625336 | C22 | semidirect |
| 18. C2×#10625334 | C22 | semidirect |
| 19. C2×#10625334 | C22 | semidirect |
| 20. C2×#10625329 | C22 | semidirect |
| 26. #13093955 | C22 | semidirect |
| 27. C4⋊(C47⋊C8) | C22 | semidirect |
| 28. #13093948 | C22 | semidirect |
| 29. #13093945 | C22 | semidirect |
| 31. #13093944 | C22 | semidirect |
| 32. C22⋊(C47⋊C8) | C22 | semidirect |
| 33. C4×C47⋊C8 | C22 | semidirect |
| 34. C2×#41×C47 | C22 | semidirect |
| 36. #127×C47 | C22 | semidirect |
| 38. #121×C47 | C22 | semidirect |
| 39. C4×Q8×C47 | C22 | semidirect |
| 72. #10625336 | D4 | semidirect |
| 91. Q8×C47 | C2×D4 | semidirect |
| 120. C47⋊C8 | C2×D4 | semidirect |
| 139. C4×C47 | AGL(1,ℤ/8) | semidirect |
| 152. #550 | D47 | semidirect |
| 162. C47 | #3274 | semidirect |
| 163. C2×#41 | C2×D47 | semidirect |
| 175. #127 | C2×D47 | semidirect |
| 179. #121 | C2×D47 | semidirect |
| 181. C4×Q8 | C2×D47 | semidirect |
| 242. Q8 | D4×D47 | semidirect |
| 291. C4 | #13094049 | semidirect |