Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 conjugacy classes of subgroups — too many to draw. Only its 145 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×#13094071 | C2 | semidirect |
| 2. #15689921 | C2 | semidirect |
| 3. #15689694 | C2 | semidirect |
| 4. #15689304 | C2 | semidirect |
| 5. #15689294 | C2 | semidirect |
| 6. #15689140 | C2 | semidirect |
| 7. #15689139 | C2 | semidirect |
| 8. C2×#13093942 | C2 | semidirect |
| 9. C47×#575 | C2 | semidirect |
| 21. #13094055 | C22 | semidirect |
| 23. #13094050 | C22 | semidirect |
| 27. #13094022 | C22 | semidirect |
| 28. #13094011 | C22 | semidirect |
| 32. #13093951 | C22 | semidirect |
| 33. #13093950 | C22 | semidirect |
| 34. #13093942 | C22 | semidirect |
| 38. #137×C47 | C22 | semidirect |
| 40. AGL(1,ℤ/8)×C47 | C22 | semidirect |
| 188. #575 | D47 | semidirect |
| 195. C47 | #3020 | semidirect |
| 212. #137 | C2×D47 | semidirect |
| 216. AGL(1,ℤ/8) | C2×D47 | semidirect |