Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
494 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 125 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. #15689778 | C2 | semidirect |
| 2. D4×D188 | C2 | semidirect |
| 3. #15689470 | C2 | semidirect |
| 4. #15689438 | C2 | semidirect |
| 5. #15689403 | C2 | semidirect |
| 6. #15689358 | C2 | semidirect |
| 7. #15689318 | C2 | semidirect |
| 8. #15689255 | C2 | semidirect |
| 9. C8×D188 | C2 | semidirect |
| 10. #102×D47 | C2 | semidirect |
| 11. C4×D8×C47 | C2 | semidirect |
| 15. C2×#10625334 | C22 | semidirect |
| 16. C2×C8×D47 | C22 | semidirect |
| 17. #13094024 | C22 | semidirect |
| 23. #13093995 | C22 | semidirect |
| 26. C4⋊C4×D47 | C22 | semidirect |
| 27. #13093957 | C22 | semidirect |
| 28. C4⋊(C47⋊C8) | C22 | semidirect |
| 29. #13093946 | C22 | semidirect |
| 30. #13093946 | C22 | semidirect |
| 32. #13093944 | C22 | semidirect |
| 33. (C2×D47)⋊C8 | C22 | semidirect |
| 36. C4×D4×C47 | C22 | semidirect |
| 37. #107×C47 | C22 | semidirect |
| 39. #102×C47 | C22 | semidirect |
| 40. C4×C8×C47 | C22 | semidirect |
| 88. D4×C47 | #41 | semidirect |
| 105. D188 | D8 | semidirect |
| 151. C4×D8 | D47 | semidirect |
| 154. C47 | #3294 | semidirect |
| 171. C4×D4 | C2×D47 | semidirect |
| 174. #107 | C2×D47 | semidirect |
| 181. #102 | C2×D47 | semidirect |
| 183. C4×C8 | C2×D47 | semidirect |
| 240. D4 | #10625350 | semidirect |