Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
548 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 135 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×#13094052 | C2 | semidirect |
| 2. C2×#13094049 | C2 | semidirect |
| 3. #15689669 | C2 | semidirect |
| 4. C2×#13093986 | C2 | semidirect |
| 5. #15689341 | C2 | semidirect |
| 6. #15689337 | C2 | semidirect |
| 7. #15689327 | C2 | semidirect |
| 8. #15689317 | C2 | semidirect |
| 9. #15689146 | C2 | semidirect |
| 10. #15689122 | C2 | semidirect |
| 11. C47×#417 | C2 | semidirect |
| 22. #13094022 | C22 | semidirect |
| 23. #13094020 | C22 | semidirect |
| 24. #13094013 | C22 | semidirect |
| 25. #13094011 | C22 | semidirect |
| 36. Dic47⋊C8 | C22 | semidirect |
| 37. Dic47⋊C8 | C22 | semidirect |
| 38. #13093947 | C22 | semidirect |
| 39. #13093944 | C22 | semidirect |
| 43. #103×C47 | C22 | semidirect |
| 44. #102×C47 | C22 | semidirect |
| 63. C2×D188 | D4 | semidirect |
| 158. Dic47 | AGL(1,ℤ/8) | semidirect |
| 177. #417 | D47 | semidirect |
| 178. C47 | #3036 | semidirect |
| 209. #103 | C2×D47 | semidirect |
| 211. #102 | C2×D47 | semidirect |