Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
408 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689657 | C2 | semidirect |
| 2. #15689529 | C2 | semidirect |
| 3. #15689510 | C2 | semidirect |
| 4. #15689487 | C2 | semidirect |
| 5. #15689485 | C2 | semidirect |
| 6. #15689374 | C2 | semidirect |
| 7. #15689367 | C2 | semidirect |
| 8. C4×#10625335 | C2 | semidirect |
| 9. C4×#10625334 | C2 | semidirect |
| 10. C4×#10625329 | C2 | semidirect |
| 11. C47×#532 | C2 | semidirect |
| 110. C47⋊C8 | #41 | semidirect |
| 138. #532 | D47 | semidirect |
| 149. C47 | #3171 | semidirect |