Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
514 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 115 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×#13093999 | C2 | semidirect |
| 2. #121×D47 | C2 | semidirect |
| 3. #15689443 | C2 | semidirect |
| 4. #15689441 | C2 | semidirect |
| 5. #15689377 | C2 | semidirect |
| 6. #15689375 | C2 | semidirect |
| 7. #15689259 | C2 | semidirect |
| 8. #15689258 | C2 | semidirect |
| 9. #15689256 | C2 | semidirect |
| 10. #15689085 | C2 | semidirect |
| 11. C47×#481 | C2 | semidirect |
| 13. C22×D188 | C22 | semidirect |
| 15. C2×D4×D47 | C22 | semidirect |
| 17. C2×D376 | C22 | semidirect |
| 18. C2×#10625334 | C22 | semidirect |
| 19. C2×#10625324 | C22 | semidirect |
| 23. #13093999 | C22 | semidirect |
| 24. #13093999 | C22 | semidirect |
| 28. #13093995 | C22 | semidirect |
| 29. C4⋊C4×D47 | C22 | semidirect |
| 32. #13093955 | C22 | semidirect |
| 33. #13093946 | C22 | semidirect |
| 34. #13093944 | C22 | semidirect |
| 35. #13093944 | C22 | semidirect |
| 36. C22⋊(C47⋊C8) | C22 | semidirect |
| 37. (C2×D47)⋊C8 | C22 | semidirect |
| 39. C2×C4⋊C4×C47 | C22 | semidirect |
| 40. #106×C47 | C22 | semidirect |
| 41. #102×C47 | C22 | semidirect |
| 42. C22⋊C8×C47 | C22 | semidirect |
| 173. #481 | D47 | semidirect |
| 180. C47 | #3192 | semidirect |
| 200. C2×C4⋊C4 | C2×D47 | semidirect |
| 204. #106 | C2×D47 | semidirect |
| 208. #102 | C2×D47 | semidirect |
| 211. C22⋊C8 | C2×D47 | semidirect |