Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689461 | C2 | semidirect |
| 3. #15689453 | C2 | semidirect |
| 4. #15689436 | C2 | semidirect |
| 5. #15689362 | C2 | semidirect |
| 6. #15689354 | C2 | semidirect |
| 7. #15689283 | C2 | semidirect |
| 8. #15689279 | C2 | semidirect |
| 9. #15689262 | C2 | semidirect |
| 10. C2×C22⋊(C47⋊C8) | C2 | semidirect |
| 11. C2×C22⋊Q8×C47 | C2 | semidirect |
| 13. C2×#10625337 | C22 | semidirect |
| 14. C2×#10625336 | C22 | semidirect |
| 25. #13093957 | C22 | semidirect |
| 26. #13093955 | C22 | semidirect |
| 27. #13093948 | C22 | semidirect |
| 28. #13093948 | C22 | semidirect |
| 29. #13093947 | C22 | semidirect |
| 30. #13093944 | C22 | semidirect |
| 151. C2×C22⋊Q8 | D47 | semidirect |
| 161. C47 | #3190 | semidirect |