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. C22×#10625336 | C2 | semidirect |
| 4. #15689283 | C2 | direct (N × H) |
| 5. C2×#13093947 | C2 | semidirect |
| 6. C2×#13093944 | C2 | semidirect |
| 7. C2×C22⋊(C47⋊C8) | C2 | semidirect |
| 8. C2×C22⋊Q8×C47 | C2 | semidirect |
| 18. C2×#10625337 | C22 | semidirect |
| 20. C2×#10625336 | C22 | semidirect |
| 23. #13093947 | C22 | semidirect |
| 24. #13093944 | C22 | semidirect |
| 25. C22⋊(C47⋊C8) | C22 | semidirect |
| 29. C22⋊Q8×C47 | C22 | semidirect |
| 131. C2×C47 | #452 | semidirect |
| 139. C2×C22⋊Q8 | D47 | semidirect |
| 144. C47 | C2×#452 | semidirect |
| 162. C22⋊Q8 | C2×D47 | semidirect |
| 267. C2 | #15689283 | direct (N × H) |