Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
764 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13094069 | C2 | semidirect |
| 2. C2×#13094044 | C2 | semidirect |
| 3. #15689701 | C2 | semidirect |
| 4. #15689282 | C2 | semidirect |
| 5. #15689272 | C2 | semidirect |
| 6. #15689265 | C2 | semidirect |
| 7. #15689255 | C2 | semidirect |
| 8. #15689125 | C2 | semidirect |
| 9. C2×#13093945 | C2 | semidirect |
| 10. #15689091 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C47 | C2 | semidirect |
| 22. C2×#10625337 | C22 | semidirect |
| 23. C2×#10625335 | C22 | semidirect |
| 24. C2×#10625336 | C22 | semidirect |
| 25. C2×#10625334 | C22 | semidirect |
| 26. C22×C47⋊C8 | C22 | semidirect |
| 28. #13094000 | C22 | semidirect |
| 31. #13093995 | C22 | semidirect |
| 32. C2×C4⋊Dic47 | C22 | semidirect |
| 33. #13093949 | C22 | semidirect |
| 34. #13093946 | C22 | semidirect |
| 35. #13093945 | C22 | semidirect |
| 36. #13093945 | C22 | semidirect |
| 37. (C2×D47)⋊C8 | C22 | semidirect |
| 38. (C2×D47)⋊C8 | C22 | semidirect |
| 39. C2×#41×C47 | C22 | semidirect |
| 42. C2×SD16×C47 | C22 | semidirect |
| 43. C2×D8×C47 | C22 | semidirect |
| 44. C2×M16×C47 | C22 | semidirect |
| 53. C2×D4×C47 | D4 | semidirect |
| 75. #10625350 | D4 | semidirect |
| 180. C2×AGL(1,ℤ/8) | D47 | semidirect |
| 190. C47 | #3012 | semidirect |
| 197. C2×#41 | C2×D47 | semidirect |
| 207. C2×SD16 | C2×D47 | semidirect |
| 209. C2×D8 | C2×D47 | semidirect |
| 210. C2×M16 | C2×D47 | semidirect |
| 252. C2×D4 | C22⋊D47 | semidirect |