Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
996 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 996 conjugacy classes of subgroups — too many to draw. Only its 173 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 |
|---|---|---|
| 2. C22×#10625336 | C2 | semidirect |
| 3. C2×#13094000 | C2 | semidirect |
| 4. #15689272 | C2 | direct (N × H) |
| 5. C2×#13093946 | C2 | semidirect |
| 6. C2×#13093945 | C2 | semidirect |
| 7. C2×(C2×D47)⋊C8 | C2 | semidirect |
| 8. C22×SD16×C47 | C2 | semidirect |
| 18. C2×#10625336 | C22 | semidirect |
| 19. C22×C47⋊C8 | C22 | semidirect |
| 21. #13094000 | C22 | semidirect |
| 22. C2×C4⋊Dic47 | C22 | semidirect |
| 25. #13093946 | C22 | semidirect |
| 26. #13093945 | C22 | semidirect |
| 27. (C2×D47)⋊C8 | C22 | semidirect |
| 28. C22×Q8×C47 | C22 | semidirect |
| 31. C2×SD16×C47 | C22 | semidirect |
| 32. C22×C8×C47 | C22 | semidirect |
| 43. C2×Q8×C47 | C23 | semidirect |
| 67. C2×C8×C47 | C23 | semidirect |
| 71. C4⋊Dic47 | C23 | semidirect |
| 74. C2×C47⋊C8 | C23 | semidirect |
| 90. C22×D47 | SD16 | semidirect |
| 133. C2×D47 | C2×SD16 | semidirect |
| 142. C2×C47 | #450 | semidirect |
| 150. C22×SD16 | D47 | semidirect |
| 156. C47 | C2×#450 | semidirect |
| 158. C22×Q8 | C2×D47 | semidirect |
| 170. C2×SD16 | C2×D47 | semidirect |
| 172. C22×C8 | C2×D47 | semidirect |
| 191. C2×Q8 | C22×D47 | semidirect |
| 218. C2×C8 | C22×D47 | semidirect |
| 291. C2 | #15689272 | direct (N × H) |