Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
492 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 492 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×Q16×D47 | C2 | semidirect |
| 4. #15689382 | C2 | semidirect |
| 5. #15689381 | C2 | semidirect |
| 6. #15689380 | C2 | semidirect |
| 7. #15689379 | C2 | semidirect |
| 8. #15689378 | C2 | semidirect |
| 9. #106×D47 | C2 | semidirect |
| 10. #103×D47 | C2 | semidirect |
| 11. C47×#470 | C2 | semidirect |
| 14. C2×Dic188 | C22 | semidirect |
| 15. C2×#10625337 | C22 | semidirect |
| 31. #13093956 | C22 | semidirect |
| 32. #13093955 | C22 | semidirect |
| 33. #13093949 | C22 | semidirect |
| 34. #13093948 | C22 | semidirect |
| 35. #13093947 | C22 | semidirect |
| 36. C2×Q16×C47 | C22 | semidirect |
| 39. #106×C47 | C22 | semidirect |
| 40. #103×C47 | C22 | semidirect |
| 136. D47 | #470 | direct (N × H) |
| 145. #470 | D47 | direct (N × H) |
| 148. C47 | C2×#470 | semidirect |
| 154. C2×Q16 | C2×D47 | semidirect |
| 173. #106 | C2×D47 | semidirect |
| 177. #103 | C2×D47 | semidirect |