Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
420 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 117 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. #15689692 | C2 | semidirect |
| 2. #15689510 | C2 | semidirect |
| 3. #15689499 | C2 | semidirect |
| 4. #15689489 | C2 | semidirect |
| 5. #15689480 | C2 | semidirect |
| 6. #15689338 | C2 | semidirect |
| 7. #15689318 | C2 | semidirect |
| 8. #15689266 | C2 | semidirect |
| 9. #15689256 | C2 | semidirect |
| 10. #15689184 | C2 | semidirect |
| 11. C47×#540 | C2 | semidirect |
| 14. C2×#10625335 | C22 | semidirect |
| 17. C2×#10625334 | C22 | semidirect |
| 24. C4⋊(C47⋊C8) | C22 | semidirect |
| 25. #13093947 | C22 | semidirect |
| 28. #13093944 | C22 | semidirect |
| 30. #13093935 | C22 | semidirect |
| 31. C4×C47⋊C8 | C22 | semidirect |
| 32. #127×C47 | C22 | semidirect |
| 33. #125×C47 | C22 | semidirect |
| 37. C4×D4×C47 | C22 | semidirect |
| 129. #540 | D47 | semidirect |
| 140. C47 | #3220 | semidirect |
| 149. #127 | C2×D47 | semidirect |
| 150. #125 | C2×D47 | semidirect |
| 158. C4×D4 | C2×D47 | semidirect |