Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
462 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 137 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. #15689447 | C2 | semidirect |
| 3. #15689441 | C2 | semidirect |
| 4. #15689436 | C2 | semidirect |
| 5. #15689166 | C2 | semidirect |
| 6. #15689127 | C2 | semidirect |
| 7. #15689087 | C2 | semidirect |
| 8. C2×#117×C47 | C2 | semidirect |
| 18. #13093957 | C22 | semidirect |
| 19. #13093955 | C22 | semidirect |
| 20. #13093944 | C22 | semidirect |
| 21. #13093944 | C22 | semidirect |
| 22. C22⋊(C47⋊C8) | C22 | semidirect |
| 23. C22⋊(C47⋊C8) | C22 | semidirect |
| 28. #117×C47 | C22 | semidirect |
| 29. C2×C4⋊C4×C47 | C22 | semidirect |
| 30. C2×C4⋊C4×C47 | C22 | semidirect |
| 127. C2×#117 | D47 | semidirect |
| 134. C47 | #3094 | semidirect |
| 146. #117 | C2×D47 | semidirect |
| 148. C2×C4⋊C4 | C2×D47 | semidirect |
| 149. C2×C4⋊C4 | C2×D47 | semidirect |