Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
762 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 762 conjugacy classes of subgroups — too many to draw. Only its 145 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×#13094069 | C2 | semidirect |
| 2. #15689923 | C2 | semidirect |
| 3. #15689690 | C2 | semidirect |
| 4. #15689303 | C2 | semidirect |
| 5. #15689293 | C2 | semidirect |
| 6. #15689139 | C2 | semidirect |
| 7. C2×#100×C47 | C2 | semidirect |
| 12. C2×#10625350 | C22 | semidirect |
| 17. #13094057 | C22 | semidirect |
| 19. #13094052 | C22 | semidirect |
| 21. #13094020 | C22 | semidirect |
| 22. #13094011 | C22 | semidirect |
| 25. #13093983 | C22 | semidirect |
| 26. #13093950 | C22 | semidirect |
| 28. C2×M16×C47 | C22 | semidirect |
| 29. #100×C47 | C22 | semidirect |
| 52. #10625350 | D4 | semidirect |
| 54. C2×D188 | D4 | semidirect |
| 55. C2×D188 | C23 | semidirect |
| 58. C2×Dic94 | D4 | semidirect |
| 59. C2×Dic94 | C23 | semidirect |
| 61. M16×C47 | C23 | semidirect |
| 66. C4×Dic47 | C23 | semidirect |
| 138. C2×#100 | D47 | semidirect |
| 139. C47 | #3019 | semidirect |
| 154. C2×M16 | C2×D47 | semidirect |
| 161. #100 | C2×D47 | semidirect |
| 197. M16 | C22×D47 | semidirect |