Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
548 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 143 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. #15689669 | C2 | semidirect |
| 3. C2×D4×Dic47 | C2 | semidirect |
| 4. #15689340 | C2 | semidirect |
| 5. #15689336 | C2 | semidirect |
| 6. #15689326 | C2 | semidirect |
| 7. #15689316 | C2 | semidirect |
| 8. #15689146 | C2 | semidirect |
| 9. #15689125 | C2 | semidirect |
| 10. #15689124 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C47 | C2 | semidirect |
| 18. #13094022 | C22 | semidirect |
| 19. #13094020 | C22 | semidirect |
| 20. #13094013 | C22 | semidirect |
| 21. #13094011 | C22 | semidirect |
| 33. Dic47⋊C8 | C22 | semidirect |
| 34. Dic47⋊C8 | C22 | semidirect |
| 35. #13093949 | C22 | semidirect |
| 36. #13093948 | C22 | semidirect |
| 37. #13093946 | C22 | semidirect |
| 38. #13093945 | C22 | semidirect |
| 52. C2×D4×C47 | D4 | semidirect |
| 158. Dic47 | AGL(1,ℤ/8) | semidirect |
| 168. C2×AGL(1,ℤ/8) | D47 | semidirect |
| 178. C47 | #3036 | semidirect |
| 226. C2×D4 | C22⋊D47 | semidirect |