Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
1512 conjugacy classes of subgroups; only the 549 normal subgroups are shown.
This group has 1512 conjugacy classes of subgroups — too many to draw. Only its 549 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×#13094070 | C2 | semidirect |
| 2. #15689928 | C2 | direct (N × H) |
| 3. C2×#13094052 | C2 | semidirect |
| 4. C2×#13094046 | C2 | semidirect |
| 5. C22×D376 | C2 | semidirect |
| 6. C2×#131×C47 | C2 | semidirect |
| 8. #13094070 | C22 | semidirect |
| 10. C2×#10625350 | C22 | semidirect |
| 11. C22×D188 | C22 | semidirect |
| 13. #13094052 | C22 | semidirect |
| 14. #13094046 | C22 | semidirect |
| 15. C2×Dic188 | C22 | semidirect |
| 16. C2×#10625325 | C22 | semidirect |
| 17. C2×D376 | C22 | semidirect |
| 18. C2×D376 | C22 | semidirect |
| 19. C2×D376 | C22 | semidirect |
| 21. #131×C47 | C22 | semidirect |
| 22. C2×M16×C47 | C22 | semidirect |
| 23. C22×C8×C47 | C22 | semidirect |
| 34. #10625350 | C23 | semidirect |
| 38. C2×D188 | C23 | semidirect |
| 41. M16×C47 | C23 | semidirect |
| 44. C2×C8×C47 | C23 | semidirect |
| 45. Dic188 | C23 | semidirect |
| 46. D376 | C23 | semidirect |
| 47. D376 | C23 | semidirect |
| 48. #10625325 | C23 | semidirect |
| 81. C2×C47 | #576 | semidirect |
| 89. C2×#131 | D47 | semidirect |
| 90. C47 | C2×#576 | semidirect |
| 105. #131 | C2×D47 | semidirect |
| 106. C2×M16 | C2×D47 | semidirect |
| 107. C22×C8 | C2×D47 | semidirect |
| 129. M16 | C22×D47 | semidirect |
| 132. C2×C8 | C22×D47 | semidirect |
| 165. C2 | #15689928 | direct (N × H) |