Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
806 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 806 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#10625354 | C2 | semidirect |
| 2. C2×#13094051 | C2 | semidirect |
| 3. #121×D47 | C2 | semidirect |
| 4. #15689271 | C2 | semidirect |
| 5. #15689267 | C2 | semidirect |
| 6. #15689262 | C2 | semidirect |
| 7. #15689259 | C2 | semidirect |
| 8. #15689256 | C2 | semidirect |
| 9. #15689123 | C2 | semidirect |
| 10. #15689085 | C2 | semidirect |
| 11. C47×#448 | C2 | semidirect |
| 16. C2×#10625354 | C22 | semidirect |
| 18. C22×D188 | C22 | semidirect |
| 20. C2×D4×D47 | C22 | semidirect |
| 24. C2×#10625336 | C22 | semidirect |
| 25. C2×D376 | C22 | semidirect |
| 26. C2×#10625334 | C22 | semidirect |
| 27. C2×#10625324 | C22 | semidirect |
| 28. #13093999 | C22 | semidirect |
| 32. #13093995 | C22 | semidirect |
| 33. C4⋊C4×D47 | C22 | semidirect |
| 35. #13093948 | C22 | semidirect |
| 36. #13093946 | C22 | semidirect |
| 37. #13093944 | C22 | semidirect |
| 38. C22⋊(C47⋊C8) | C22 | semidirect |
| 39. (C2×D47)⋊C8 | C22 | semidirect |
| 40. C22×Q8×C47 | C22 | semidirect |
| 41. C2×SD16×C47 | C22 | semidirect |
| 43. #103×C47 | C22 | semidirect |
| 44. C22⋊C8×C47 | C22 | semidirect |
| 64. #10625354 | D4 | semidirect |
| 115. Q8×C47 | C2×D4 | semidirect |
| 137. D188 | C2×D4 | semidirect |
| 152. C22×C47 | AGL(1,ℤ/8) | semidirect |
| 192. #448 | D47 | semidirect |
| 197. C47 | #3006 | semidirect |
| 203. C22×Q8 | C2×D47 | semidirect |
| 212. C2×SD16 | C2×D47 | semidirect |
| 225. #103 | C2×D47 | semidirect |
| 230. C22⋊C8 | C2×D47 | semidirect |
| 301. Q8 | D4×D47 | semidirect |
| 353. C22 | #13094051 | semidirect |