Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13094049 | C2 | semidirect |
| 2. C2×#13094030 | C2 | semidirect |
| 3. #15689701 | C2 | semidirect |
| 4. #15689692 | C2 | semidirect |
| 5. #15689375 | C2 | semidirect |
| 6. #15689372 | C2 | semidirect |
| 7. #15689358 | C2 | semidirect |
| 8. #15689355 | C2 | semidirect |
| 9. #15689166 | C2 | semidirect |
| 10. C2×#13093946 | C2 | semidirect |
| 11. C47×#416 | C2 | semidirect |
| 19. C2×#10625324 | C22 | semidirect |
| 20. C2×C8×D47 | C22 | semidirect |
| 24. #13094000 | C22 | semidirect |
| 29. #13093995 | C22 | semidirect |
| 32. #13093957 | C22 | semidirect |
| 33. #13093955 | C22 | semidirect |
| 39. #103×C47 | C22 | semidirect |
| 40. #103×C47 | C22 | semidirect |
| 41. #102×C47 | C22 | semidirect |
| 42. #102×C47 | C22 | semidirect |
| 81. #10625329 | D4 | semidirect |
| 161. #416 | D47 | semidirect |
| 163. C47 | #3062 | semidirect |
| 189. #103 | C2×D47 | semidirect |
| 190. #103 | C2×D47 | semidirect |
| 193. #102 | C2×D47 | semidirect |
| 194. #102 | C2×D47 | semidirect |