Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
410 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 121 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×#13094012 | C2 | semidirect |
| 2. #15689505 | C2 | semidirect |
| 3. #15689480 | C2 | semidirect |
| 4. #15689345 | C2 | semidirect |
| 5. #15689338 | C2 | semidirect |
| 6. #15689278 | C2 | semidirect |
| 7. #15689273 | C2 | semidirect |
| 8. #15689261 | C2 | semidirect |
| 10. #15689176 | C2 | semidirect |
| 11. C47×#529 | C2 | semidirect |
| 14. C2×#10625337 | C22 | semidirect |
| 15. C2×#10625335 | C22 | semidirect |
| 24. C4⋊(C47⋊C8) | C22 | semidirect |
| 25. #13093947 | C22 | semidirect |
| 26. #13093947 | C22 | semidirect |
| 31. C4×C47⋊C8 | C22 | semidirect |
| 33. #125×C47 | C22 | semidirect |
| 34. #124×C47 | C22 | semidirect |
| 38. C4×Q8×C47 | C22 | semidirect |
| 40. C4×D4×C47 | C22 | semidirect |
| 144. #529 | D47 | semidirect |
| 155. C47 | #3211 | semidirect |
| 163. #125 | C2×D47 | semidirect |
| 168. #124 | C2×D47 | semidirect |
| 172. C4×Q8 | C2×D47 | semidirect |
| 174. C4×D4 | C2×D47 | semidirect |