Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
500 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 127 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×#13094047 | C2 | semidirect |
| 2. C2×M16×D47 | C2 | semidirect |
| 3. #15689636 | C2 | semidirect |
| 4. #15689378 | C2 | semidirect |
| 5. #15689377 | C2 | semidirect |
| 6. #15689376 | C2 | semidirect |
| 7. #15689372 | C2 | semidirect |
| 8. #15689371 | C2 | semidirect |
| 9. #15689158 | C2 | semidirect |
| 10. #15689118 | C2 | semidirect |
| 11. C47×#470 | C2 | semidirect |
| 15. C2×#10625336 | C22 | semidirect |
| 16. C2×D376 | C22 | semidirect |
| 31. #13093957 | C22 | semidirect |
| 32. #13093956 | C22 | semidirect |
| 33. #13093948 | C22 | semidirect |
| 34. #13093946 | C22 | semidirect |
| 35. #13093944 | C22 | semidirect |
| 36. C2×Q16×C47 | C22 | semidirect |
| 39. #106×C47 | C22 | semidirect |
| 40. #103×C47 | C22 | semidirect |
| 80. C8×D47 | D4 | semidirect |
| 145. #470 | D47 | semidirect |
| 152. C47 | #3054 | semidirect |
| 156. C2×Q16 | C2×D47 | semidirect |
| 177. #106 | C2×D47 | semidirect |
| 179. #103 | C2×D47 | semidirect |