Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
760 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 2. C22×#10625337 | C2 | semidirect |
| 3. C2×#13094000 | C2 | semidirect |
| 4. #15689282 | C2 | direct (N × H) |
| 5. C2×#13093949 | C2 | semidirect |
| 6. C2×#13093945 | C2 | semidirect |
| 7. C2×(C2×D47)⋊C8 | C2 | semidirect |
| 8. C22×SD16×C47 | C2 | semidirect |
| 18. C2×#10625337 | C22 | semidirect |
| 21. #13094000 | C22 | semidirect |
| 25. #13093949 | C22 | semidirect |
| 26. #13093945 | C22 | semidirect |
| 27. (C2×D47)⋊C8 | C22 | semidirect |
| 31. C2×SD16×C47 | C22 | semidirect |
| 131. C2×C47 | #452 | semidirect |
| 138. C22×SD16 | D47 | semidirect |
| 144. C47 | C2×#452 | semidirect |
| 158. C2×SD16 | C2×D47 | semidirect |
| 267. C2 | #15689282 | direct (N × H) |