Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 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. C2×#13094052 | C2 | semidirect |
| 2. C2×#13094032 | C2 | semidirect |
| 3. #15689704 | C2 | semidirect |
| 4. #15689692 | C2 | semidirect |
| 5. #15689377 | C2 | semidirect |
| 6. #15689370 | C2 | semidirect |
| 7. #15689360 | C2 | semidirect |
| 8. #15689353 | C2 | semidirect |
| 9. #15689117 | C2 | semidirect |
| 10. C2×#13093944 | C2 | semidirect |
| 11. C47×#428 | C2 | semidirect |
| 19. C2×#10625324 | C22 | semidirect |
| 21. C2×C8×D47 | C22 | semidirect |
| 25. #13094004 | C22 | semidirect |
| 29. #13093999 | C22 | semidirect |
| 32. #13093947 | C22 | semidirect |
| 33. #13093947 | C22 | semidirect |
| 36. #13093944 | C22 | semidirect |
| 37. #13093944 | C22 | semidirect |
| 41. #107×C47 | C22 | semidirect |
| 42. #106×C47 | C22 | semidirect |
| 65. M16×C47 | D4 | semidirect |
| 160. #428 | D47 | semidirect |
| 163. C47 | #3062 | semidirect |
| 187. #107 | C2×D47 | semidirect |
| 188. #106 | C2×D47 | semidirect |
| 220. M16 | D188 | semidirect |