Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 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 |
|---|---|---|
| 2. #15689515 | C2 | semidirect |
| 3. #15689497 | C2 | semidirect |
| 4. #15689489 | C2 | semidirect |
| 5. #15689480 | C2 | semidirect |
| 6. #15689345 | C2 | semidirect |
| 7. #15689323 | C2 | semidirect |
| 8. #15689283 | C2 | semidirect |
| 9. #15689273 | C2 | semidirect |
| 10. #15689184 | C2 | semidirect |
| 11. C47×#541 | C2 | semidirect |
| 14. C2×#10625337 | C22 | semidirect |
| 17. C2×#10625336 | 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. C4⋊Q8×C47 | C22 | semidirect |
| 35. #125×C47 | C22 | semidirect |
| 37. C4×Q8×C47 | C22 | semidirect |
| 123. #541 | D47 | semidirect |
| 134. C47 | #3222 | semidirect |
| 141. C4⋊Q8 | C2×D47 | semidirect |
| 146. #125 | C2×D47 | semidirect |
| 152. C4×Q8 | C2×D47 | semidirect |