Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#13094071 | C2 | semidirect |
| 2. #15689923 | C2 | semidirect |
| 3. #15689921 | C2 | semidirect |
| 4. #15689699 | C2 | semidirect |
| 5. #15689307 | C2 | semidirect |
| 6. #15689297 | C2 | semidirect |
| 7. #15689141 | C2 | semidirect |
| 8. C2×#13093942 | C2 | semidirect |
| 9. C47×#421 | C2 | semidirect |
| 23. #13094057 | C22 | semidirect |
| 25. #13094054 | C22 | semidirect |
| 27. #13094052 | C22 | semidirect |
| 29. #13094049 | C22 | semidirect |
| 33. #13094024 | C22 | semidirect |
| 34. #13094012 | C22 | semidirect |
| 37. #13093952 | C22 | semidirect |
| 38. #13093942 | C22 | semidirect |
| 42. #104×C47 | C22 | semidirect |
| 193. #421 | D47 | semidirect |
| 195. C47 | #3020 | semidirect |
| 227. #104 | C2×D47 | semidirect |