Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
784 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 784 conjugacy classes of subgroups — too many to draw. Only its 165 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×#13094049 | C2 | semidirect |
| 2. C22×#10625334 | C2 | semidirect |
| 3. #15689687 | C2 | semidirect |
| 4. #15689268 | C2 | semidirect |
| 5. #15689257 | C2 | semidirect |
| 6. #15689128 | C2 | semidirect |
| 7. #15689119 | C2 | semidirect |
| 8. #15689090 | C2 | semidirect |
| 9. C2×H(5,𝔽2)×C47 | C2 | semidirect |
| 10. C22×D188 | C22 | semidirect |
| 12. C2×#10625336 | C22 | semidirect |
| 14. C2×#10625334 | C22 | semidirect |
| 15. C2×#10625334 | C22 | semidirect |
| 16. C2×#10625329 | C22 | semidirect |
| 17. C22×C47⋊C8 | C22 | semidirect |
| 20. #13093998 | C22 | semidirect |
| 22. #13093983 | C22 | semidirect |
| 23. #13093948 | C22 | semidirect |
| 24. #13093945 | C22 | semidirect |
| 25. #13093945 | C22 | semidirect |
| 26. C22⋊(C47⋊C8) | C22 | semidirect |
| 32. C2×#41×C47 | C22 | semidirect |
| 36. C22×D4×C47 | C22 | semidirect |
| 46. #41×C47 | D4 | semidirect |
| 60. C2×D4×C47 | D4 | semidirect |
| 152. C2×H(5,𝔽2) | D47 | semidirect |
| 161. C47 | #3008 | semidirect |
| 167. C2×#41 | C2×D47 | semidirect |
| 172. C22×D4 | C2×D47 | semidirect |
| 198. #41 | C22⋊D47 | semidirect |
| 217. C2×D4 | C22⋊D47 | semidirect |