Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
546 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 546 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. D4×D188 | C2 | semidirect |
| 3. #15689497 | C2 | semidirect |
| 4. #15689371 | C2 | semidirect |
| 5. #15689325 | C2 | semidirect |
| 6. #15689318 | C2 | semidirect |
| 7. #15689273 | C2 | semidirect |
| 8. #15689268 | C2 | semidirect |
| 9. C4×#10625334 | C2 | semidirect |
| 10. #15689201 | C2 | semidirect |
| 11. C47×#547 | C2 | semidirect |
| 16. C2×#10625336 | C22 | semidirect |
| 17. C2×#10625336 | C22 | semidirect |
| 19. C2×#10625334 | C22 | semidirect |
| 20. C2×#10625329 | C22 | semidirect |
| 26. #13093957 | C22 | semidirect |
| 27. C4⋊(C47⋊C8) | C22 | semidirect |
| 28. #13093948 | C22 | semidirect |
| 29. #13093945 | C22 | semidirect |
| 31. #13093944 | C22 | semidirect |
| 32. C22⋊(C47⋊C8) | C22 | semidirect |
| 33. C4×C47⋊C8 | C22 | semidirect |
| 34. C2×#41×C47 | C22 | semidirect |
| 35. C4⋊Q8×C47 | C22 | semidirect |
| 37. C22⋊Q8×C47 | C22 | semidirect |
| 40. C4×D4×C47 | C22 | semidirect |
| 75. #10625334 | D4 | semidirect |
| 95. D4×C47 | C2×D4 | semidirect |
| 118. C47⋊C8 | C2×D4 | semidirect |
| 137. C4×C47 | AGL(1,ℤ/8) | semidirect |
| 150. #547 | D47 | semidirect |
| 160. C47 | #3272 | semidirect |
| 161. C2×#41 | C2×D47 | semidirect |
| 171. C4⋊Q8 | C2×D47 | semidirect |
| 174. C22⋊Q8 | C2×D47 | semidirect |
| 181. C4×D4 | C2×D47 | semidirect |
| 252. D4 | D4×D47 | semidirect |
| 287. C4 | #13094049 | semidirect |