Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
520 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 520 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×#13094047 | C2 | semidirect |
| 2. C22×C8×D47 | C2 | semidirect |
| 3. #15689636 | C2 | semidirect |
| 4. #15689361 | C2 | semidirect |
| 5. #15689360 | C2 | semidirect |
| 6. #15689359 | C2 | semidirect |
| 7. #15689355 | C2 | semidirect |
| 8. #15689354 | C2 | semidirect |
| 9. #15689160 | C2 | semidirect |
| 10. #15689118 | C2 | semidirect |
| 11. C47×#467 | C2 | semidirect |
| 15. C2×#10625336 | C22 | semidirect |
| 16. C2×D376 | C22 | semidirect |
| 31. #13093958 | C22 | semidirect |
| 32. #13093955 | C22 | semidirect |
| 33. #13093948 | C22 | semidirect |
| 34. #13093946 | C22 | semidirect |
| 35. #13093944 | C22 | semidirect |
| 36. C2×Q16×C47 | C22 | semidirect |
| 39. #107×C47 | C22 | semidirect |
| 40. #103×C47 | C22 | semidirect |
| 80. C8×D47 | D4 | semidirect |
| 118. C22×C47 | #135 | semidirect |
| 129. C2×D47 | #135 | semidirect |
| 150. #467 | D47 | semidirect |
| 157. C47 | #3050 | semidirect |
| 161. C2×Q16 | C2×D47 | semidirect |
| 181. #107 | C2×D47 | semidirect |
| 184. #103 | C2×D47 | semidirect |
| 274. C22 | #13094047 | semidirect |