Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689634 | C2 | semidirect |
| 2. C2×#13093998 | C2 | semidirect |
| 3. #15689459 | C2 | semidirect |
| 4. #15689448 | C2 | semidirect |
| 5. #15689442 | C2 | semidirect |
| 6. #15689359 | C2 | semidirect |
| 7. #15689352 | C2 | semidirect |
| 8. #15689276 | C2 | semidirect |
| 9. #15689270 | C2 | semidirect |
| 10. #15689259 | C2 | semidirect |
| 11. C2×C22⋊C8×C47 | C2 | semidirect |
| 12. C2×#10625350 | C22 | semidirect |
| 15. C2×#10625325 | C22 | semidirect |
| 16. C2×D376 | C22 | semidirect |
| 19. #13094003 | C22 | semidirect |
| 25. #13093998 | C22 | semidirect |
| 29. #13093983 | C22 | semidirect |
| 32. #13093958 | C22 | semidirect |
| 33. #13093956 | C22 | semidirect |
| 34. #13093949 | C22 | semidirect |
| 35. #13093946 | C22 | semidirect |
| 36. #13093946 | C22 | semidirect |
| 37. #13093946 | C22 | semidirect |
| 39. C22×C8×C47 | C22 | semidirect |
| 42. C22⋊C8×C47 | C22 | semidirect |
| 169. C2×C22⋊C8 | D47 | semidirect |
| 170. C47 | #3188 | semidirect |
| 177. C22×C8 | C2×D47 | semidirect |
| 201. C22⋊C8 | C2×D47 | semidirect |