Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
526 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 526 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×#10625334 | C2 | semidirect |
| 2. #15689687 | C2 | semidirect |
| 3. #15689598 | C2 | semidirect |
| 4. #15689340 | C2 | semidirect |
| 5. #15689316 | C2 | semidirect |
| 6. #15689151 | C2 | semidirect |
| 7. #15689129 | C2 | semidirect |
| 8. #15689119 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C47 | C2 | semidirect |
| 14. #13094020 | C22 | semidirect |
| 15. #13094013 | C22 | semidirect |
| 19. D4×Dic47 | C22 | semidirect |
| 23. Dic47⋊C8 | C22 | semidirect |
| 24. #13093948 | C22 | semidirect |
| 25. #13093946 | C22 | semidirect |
| 26. #13093945 | C22 | semidirect |
| 30. C2×SD16×C47 | C22 | semidirect |
| 31. C2×D8×C47 | C22 | semidirect |
| 41. C2×D4×C47 | D4 | semidirect |
| 122. C2×AGL(1,ℤ/8) | D47 | semidirect |
| 131. C47 | #3041 | semidirect |
| 136. C2×SD16 | C2×D47 | semidirect |
| 139. C2×D8 | C2×D47 | semidirect |
| 168. C2×D4 | C22⋊D47 | semidirect |