Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
524 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×#10625334 | C2 | semidirect |
| 2. C2×#13094032 | C2 | semidirect |
| 3. #15689692 | C2 | semidirect |
| 4. #15689690 | C2 | semidirect |
| 5. #15689375 | C2 | semidirect |
| 6. #15689358 | C2 | semidirect |
| 7. #15689159 | C2 | semidirect |
| 8. #15689129 | C2 | semidirect |
| 9. C47×#418 | C2 | semidirect |
| 16. C2×#10625324 | C22 | semidirect |
| 18. C2×C8×D47 | C22 | semidirect |
| 23. #13093999 | C22 | semidirect |
| 24. #13093995 | C22 | semidirect |
| 28. #13093957 | C22 | semidirect |
| 29. #13093955 | C22 | semidirect |
| 30. #13093946 | C22 | semidirect |
| 34. #102×C47 | C22 | semidirect |
| 66. C2×C47⋊C8 | D4 | semidirect |
| 134. #418 | D47 | semidirect |
| 135. C47 | #3058 | semidirect |
| 160. #102 | C2×D47 | semidirect |