Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 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. C2×#13094003 | C2 | semidirect |
| 2. #15689458 | C2 | semidirect |
| 3. #15689434 | C2 | semidirect |
| 4. #15689367 | C2 | semidirect |
| 5. #15689274 | C2 | semidirect |
| 6. #15689261 | C2 | semidirect |
| 7. #15689087 | C2 | semidirect |
| 9. C22×Dic94 | C22 | semidirect |
| 10. C2×#10625335 | C22 | semidirect |
| 11. C2×#10625329 | C22 | semidirect |
| 15. #13094003 | C22 | semidirect |
| 16. C2×C4⋊Dic47 | C22 | semidirect |
| 19. #13093957 | C22 | semidirect |
| 20. #13093947 | C22 | semidirect |
| 21. #13093945 | C22 | semidirect |
| 23. C22⋊(C47⋊C8) | C22 | semidirect |
| 138. C47 | #3193 | semidirect |