Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
492 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 492 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. #15689668 | C2 | semidirect |
| 2. C2×#13093986 | C2 | semidirect |
| 3. #15689436 | C2 | semidirect |
| 4. #15689402 | C2 | semidirect |
| 5. #15689317 | C2 | semidirect |
| 6. #15689259 | C2 | semidirect |
| 7. #15689256 | C2 | semidirect |
| 8. #15689205 | C2 | semidirect |
| 9. #15689203 | C2 | semidirect |
| 10. #15689173 | C2 | semidirect |
| 11. C47×#480 | C2 | semidirect |
| 17. #13094023 | C22 | semidirect |
| 18. #13094020 | C22 | semidirect |
| 22. D4×Dic47 | C22 | semidirect |
| 27. #13093986 | C22 | semidirect |
| 31. #13093957 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 35. #13093944 | C22 | semidirect |
| 37. C8×Dic47 | C22 | semidirect |
| 40. #107×C47 | C22 | semidirect |
| 41. #102×C47 | C22 | semidirect |
| 104. C2×Dic47 | D8 | semidirect |
| 112. D188 | #41 | semidirect |
| 153. #480 | D47 | semidirect |
| 161. C47 | #3100 | semidirect |
| 184. #107 | C2×D47 | semidirect |
| 189. #102 | C2×D47 | semidirect |