Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
764 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#10625354 | C2 | semidirect |
| 2. C2×#13094047 | C2 | semidirect |
| 3. #15689636 | C2 | semidirect |
| 4. #15689284 | C2 | semidirect |
| 5. #15689273 | C2 | semidirect |
| 6. #15689271 | C2 | semidirect |
| 7. #15689262 | C2 | semidirect |
| 8. #15689259 | C2 | semidirect |
| 9. #15689118 | C2 | semidirect |
| 10. C22⋊C8×D47 | C2 | semidirect |
| 11. C47×#451 | C2 | semidirect |
| 17. C2×#10625354 | C22 | semidirect |
| 23. C2×#10625336 | C22 | semidirect |
| 24. C2×#10625336 | C22 | semidirect |
| 25. C2×D376 | C22 | semidirect |
| 26. C2×C8×D47 | C22 | semidirect |
| 28. #13094000 | C22 | semidirect |
| 29. #13093999 | C22 | semidirect |
| 34. #13093982 | C22 | semidirect |
| 35. #13093948 | C22 | semidirect |
| 36. #13093946 | C22 | semidirect |
| 37. #13093944 | C22 | semidirect |
| 39. (C2×D47)⋊C8 | C22 | semidirect |
| 41. C2×Q16×C47 | C22 | semidirect |
| 43. #103×C47 | C22 | semidirect |
| 61. #10625354 | D4 | semidirect |
| 143. C22×C47 | #135 | semidirect |
| 180. #451 | D47 | semidirect |
| 187. C47 | #3002 | semidirect |
| 200. C2×Q16 | C2×D47 | semidirect |
| 215. #103 | C2×D47 | semidirect |
| 333. C22 | #13094047 | semidirect |