Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
548 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 135 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×#13094050 | C2 | semidirect |
| 2. C2×M16×D47 | C2 | semidirect |
| 3. #15689635 | C2 | semidirect |
| 4. C2×#13093995 | C2 | semidirect |
| 5. #15689375 | C2 | semidirect |
| 6. #15689368 | C2 | semidirect |
| 7. #15689358 | C2 | semidirect |
| 8. #15689351 | C2 | semidirect |
| 9. #15689166 | C2 | semidirect |
| 10. #15689125 | C2 | semidirect |
| 11. C47×#418 | C2 | semidirect |
| 16. C2×#10625335 | C22 | semidirect |
| 17. C2×#10625334 | C22 | semidirect |
| 19. C2×#10625324 | C22 | semidirect |
| 21. C2×C8×D47 | C22 | semidirect |
| 23. #13094004 | C22 | semidirect |
| 24. #13094004 | C22 | semidirect |
| 25. #13093999 | C22 | semidirect |
| 26. #13093999 | C22 | semidirect |
| 36. #13093957 | C22 | semidirect |
| 37. #13093955 | C22 | semidirect |
| 38. #13093949 | C22 | semidirect |
| 39. #13093946 | C22 | semidirect |
| 43. #102×C47 | C22 | semidirect |
| 44. #102×C47 | C22 | semidirect |
| 89. #10625329 | D4 | semidirect |
| 136. C47⋊C8 | C2×D4 | semidirect |
| 154. C2×D47 | AGL(1,ℤ/8) | semidirect |
| 182. #418 | D47 | semidirect |
| 184. C47 | #3055 | semidirect |
| 216. #102 | C2×D47 | semidirect |
| 217. #102 | C2×D47 | semidirect |