Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#10625325 | C2 | semidirect |
| 2. C2×#13094030 | C2 | semidirect |
| 3. #15689699 | C2 | semidirect |
| 5. #15689370 | C2 | semidirect |
| 6. #15689353 | C2 | semidirect |
| 7. #15689131 | C2 | semidirect |
| 8. #15689127 | C2 | semidirect |
| 9. C47×#427 | C2 | semidirect |
| 18. C2×#10625324 | C22 | semidirect |
| 19. C2×C8×D47 | C22 | semidirect |
| 25. #13094004 | C22 | semidirect |
| 28. #13093947 | C22 | semidirect |
| 33. #107×C47 | C22 | semidirect |
| 34. #106×C47 | C22 | semidirect |
| 53. C2×C8×C47 | D4 | semidirect |
| 127. #427 | D47 | semidirect |
| 130. C47 | #3057 | semidirect |
| 152. #107 | C2×D47 | semidirect |
| 153. #106 | C2×D47 | semidirect |
| 180. C2×C8 | D188 | semidirect |