Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
418 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 123 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. #15689795 | C2 | semidirect |
| 2. #15689513 | C2 | semidirect |
| 3. #15689499 | C2 | semidirect |
| 4. #15689335 | C2 | semidirect |
| 5. #15689323 | C2 | semidirect |
| 6. #15689318 | C2 | semidirect |
| 7. #15689315 | C2 | semidirect |
| 8. #15689254 | C2 | semidirect |
| 9. #15689233 | C2 | semidirect |
| 10. C4×#10625336 | C2 | semidirect |
| 11. C47×#559 | C2 | semidirect |
| 108. C47⋊C8 | #41 | semidirect |
| 135. #559 | D47 | semidirect |
| 146. C47 | #3399 | semidirect |