Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
466 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 129 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. #15689923 | C2 | semidirect |
| 2. C2×#13094050 | C2 | semidirect |
| 3. C2×#13094050 | C2 | semidirect |
| 4. #15689889 | C2 | semidirect |
| 5. #15689392 | C2 | semidirect |
| 6. #15689385 | C2 | semidirect |
| 7. #15689171 | C2 | semidirect |
| 8. #15689105 | C2 | semidirect |
| 9. C2×#100×C47 | C2 | semidirect |
| 13. #13094057 | C22 | semidirect |
| 15. #13094052 | C22 | semidirect |
| 22. C2×#10625335 | C22 | semidirect |
| 24. C2×#10625334 | C22 | semidirect |
| 25. #13094032 | C22 | semidirect |
| 30. #13093959 | C22 | semidirect |
| 31. #13093942 | C22 | semidirect |
| 32. #13093940 | C22 | semidirect |
| 36. #100×C47 | C22 | semidirect |
| 156. C2×#100 | D47 | semidirect |
| 157. C47 | #3068 | semidirect |
| 184. #100 | C2×D47 | semidirect |