Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
512 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×C4⋊C4×D47 | C2 | semidirect |
| 3. #15689443 | C2 | direct (N × H) |
| 4. C2×#13093955 | C2 | semidirect |
| 5. C2×#13093946 | C2 | semidirect |
| 6. C2×#13093944 | C2 | semidirect |
| 7. C2×(C2×D47)⋊C8 | C2 | semidirect |
| 8. C2×#106×C47 | C2 | semidirect |
| 19. C4⋊C4×D47 | C22 | semidirect |
| 21. #13093955 | C22 | semidirect |
| 22. #13093946 | C22 | semidirect |
| 23. #13093944 | C22 | semidirect |
| 24. (C2×D47)⋊C8 | C22 | semidirect |
| 28. #106×C47 | C22 | semidirect |
| 111. C2×C47 | #481 | semidirect |
| 121. C2×#106 | D47 | semidirect |
| 125. C47 | C2×#481 | semidirect |
| 142. #106 | C2×D47 | semidirect |
| 229. C2 | #15689443 | direct (N × H) |