Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
444 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 121 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. #15689673 | C2 | semidirect |
| 2. #15689513 | C2 | semidirect |
| 3. #15689482 | C2 | semidirect |
| 4. #15689335 | C2 | semidirect |
| 5. #15689262 | C2 | semidirect |
| 6. #15689257 | C2 | semidirect |
| 7. #15689180 | C2 | semidirect |
| 8. C2×#124×C47 | C2 | semidirect |
| 10. C2×#10625336 | C22 | semidirect |
| 12. #13094024 | C22 | semidirect |
| 13. #13094021 | C22 | semidirect |
| 18. C4×D188 | C22 | semidirect |
| 19. C4⋊(C47⋊C8) | C22 | semidirect |
| 20. #13093948 | C22 | semidirect |
| 23. #13093935 | C22 | semidirect |
| 122. C2×#124 | D47 | semidirect |
| 129. C47 | #3213 | semidirect |