Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
526 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 125 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×#13094047 | C2 | semidirect |
| 2. C22×D376 | C2 | semidirect |
| 3. #15689764 | C2 | semidirect |
| 4. #15689508 | C2 | semidirect |
| 5. #15689360 | C2 | semidirect |
| 6. #15689341 | C2 | semidirect |
| 7. #15689273 | C2 | semidirect |
| 8. #15689271 | C2 | semidirect |
| 9. #15689205 | C2 | semidirect |
| 10. C8×C22⋊D47 | C2 | semidirect |
| 11. C47×#467 | C2 | semidirect |
| 12. C2×#10625354 | C22 | semidirect |
| 15. C2×#10625336 | C22 | semidirect |
| 16. C2×#10625336 | C22 | semidirect |
| 21. C2×C8×D47 | C22 | semidirect |
| 22. #13094013 | C22 | semidirect |
| 25. #13093999 | C22 | semidirect |
| 27. #13093986 | C22 | semidirect |
| 30. Dic47⋊C8 | C22 | semidirect |
| 31. #13093944 | C22 | semidirect |
| 32. #13093944 | C22 | semidirect |
| 34. (C2×D47)⋊C8 | C22 | semidirect |
| 35. C8×Dic47 | C22 | semidirect |
| 36. C2×Q16×C47 | C22 | semidirect |
| 39. #107×C47 | C22 | semidirect |
| 40. #103×C47 | C22 | semidirect |
| 78. D376 | D4 | semidirect |
| 116. C22×C47 | #135 | semidirect |
| 148. #467 | D47 | semidirect |
| 155. C47 | #3280 | semidirect |
| 159. C2×Q16 | C2×D47 | semidirect |
| 177. #107 | C2×D47 | semidirect |
| 179. #103 | C2×D47 | semidirect |
| 270. C22 | #13094047 | semidirect |