Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
546 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 546 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10625335 | C2 | semidirect |
| 2. D4×Dic94 | C2 | semidirect |
| 3. #15689495 | C2 | semidirect |
| 4. #15689350 | C2 | semidirect |
| 5. #15689328 | C2 | semidirect |
| 6. #15689320 | C2 | semidirect |
| 7. #15689274 | C2 | semidirect |
| 8. #15689261 | C2 | semidirect |
| 9. C4×#10625335 | C2 | semidirect |
| 10. D4×C47⋊C8 | C2 | semidirect |
| 12. C22×Dic94 | C22 | semidirect |
| 16. C2×#10625335 | C22 | semidirect |
| 17. C2×#10625335 | C22 | semidirect |
| 18. C2×#10625335 | C22 | semidirect |
| 19. C22×C47⋊C8 | C22 | semidirect |
| 20. #13094024 | C22 | semidirect |
| 22. #13094003 | C22 | semidirect |
| 24. C4×Dic94 | C22 | semidirect |
| 26. #13093955 | C22 | semidirect |
| 27. C4⋊(C47⋊C8) | C22 | semidirect |
| 28. #13093947 | C22 | semidirect |
| 29. #13093947 | C22 | semidirect |
| 31. #13093945 | C22 | semidirect |
| 32. C22⋊(C47⋊C8) | C22 | semidirect |
| 33. C4×C47⋊C8 | C22 | semidirect |
| 72. #10625335 | D4 | direct (N × H) |
| 96. D4×C47 | SD16 | semidirect |
| 114. Dic94 | C2×D4 | semidirect |
| 117. C47⋊C8 | C2×D4 | semidirect |
| 127. C22×C47 | C2×SD16 | semidirect |
| 132. C4×C47 | C2×SD16 | semidirect |
| 156. C47 | D4×SD16 | semidirect |
| 246. D4 | #10625335 | direct (N × H) |
| 272. C22 | C2×#10625335 | semidirect |
| 280. C4 | C2×#10625335 | semidirect |