Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 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. C2×#13094057 | C2 | semidirect |
| 2. C2×#13094054 | C2 | semidirect |
| 3. C2×#13094050 | C2 | semidirect |
| 4. #15689669 | C2 | semidirect |
| 5. C2×#13094011 | C2 | semidirect |
| 6. #15689514 | C2 | semidirect |
| 7. #15689511 | C2 | semidirect |
| 8. #15689506 | C2 | semidirect |
| 9. #15689504 | C2 | semidirect |
| 10. M16×Dic47 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C47 | C2 | semidirect |
| 17. C2×Dic188 | C22 | semidirect |
| 18. C2×#10625337 | C22 | semidirect |
| 19. C2×#10625325 | C22 | semidirect |
| 21. C2×#10625335 | C22 | semidirect |
| 24. #13094022 | C22 | semidirect |
| 25. #13094020 | C22 | semidirect |
| 26. #13094013 | C22 | semidirect |
| 30. #13094011 | C22 | semidirect |
| 35. #13093934 | C22 | semidirect |
| 36. C8×Dic47 | C22 | semidirect |
| 70. M16×C47 | D4 | semidirect |
| 84. #10625329 | D4 | semidirect |
| 154. C2×AGL(1,ℤ/8) | D47 | semidirect |
| 162. C47 | #3153 | semidirect |
| 228. M16 | C22⋊D47 | semidirect |