Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 121 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. #15689728 | C2 | semidirect |
| 2. #15689522 | C2 | semidirect |
| 3. #15689499 | C2 | semidirect |
| 4. #15689489 | C2 | semidirect |
| 5. #15689487 | C2 | semidirect |
| 6. #15689374 | C2 | semidirect |
| 7. #15689357 | C2 | semidirect |
| 8. #15689233 | C2 | semidirect |
| 9. C4×#10625334 | C2 | semidirect |
| 10. #15689079 | C2 | semidirect |
| 11. C47×#540 | C2 | semidirect |
| 116. #540 | D47 | semidirect |
| 126. C47 | #3176 | semidirect |