Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
526 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×#10625334 | C2 | semidirect |
| 3. #15689692 | C2 | semidirect |
| 4. #15689338 | C2 | semidirect |
| 5. #15689318 | C2 | semidirect |
| 6. #15689150 | C2 | semidirect |
| 7. #15689127 | C2 | semidirect |
| 8. #15689117 | C2 | semidirect |
| 9. C47×#518 | C2 | semidirect |
| 13. C2×#10625335 | C22 | semidirect |
| 16. C2×#10625334 | C22 | semidirect |
| 19. #13094021 | C22 | semidirect |
| 20. #13094012 | C22 | semidirect |
| 23. C4⋊(C47⋊C8) | C22 | semidirect |
| 24. #13093947 | C22 | semidirect |
| 25. #13093944 | C22 | semidirect |
| 26. #13093944 | C22 | semidirect |
| 29. C4×D4×C47 | C22 | semidirect |
| 37. C2×D4×C47 | D4 | semidirect |
| 125. #518 | D47 | semidirect |
| 131. C47 | #3041 | semidirect |
| 147. C4×D4 | C2×D47 | semidirect |
| 169. C2×D4 | D188 | semidirect |