Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 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. C2×#13094055 | C2 | semidirect |
| 3. #15689890 | C2 | semidirect |
| 4. #15689396 | C2 | semidirect |
| 5. #15689388 | C2 | semidirect |
| 6. #15689171 | C2 | semidirect |
| 7. #15689105 | C2 | semidirect |
| 8. C2×#13093943 | C2 | semidirect |
| 9. C2×#137×C47 | C2 | semidirect |
| 18. C2×#10625337 | C22 | semidirect |
| 19. C2×#10625336 | C22 | semidirect |
| 26. #13093959 | C22 | semidirect |
| 27. #13093943 | C22 | semidirect |
| 28. #13093942 | C22 | semidirect |
| 29. #13093940 | C22 | semidirect |
| 145. C2×#137 | D47 | semidirect |
| 152. C47 | #3069 | semidirect |