Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
778 conjugacy classes of subgroups; only the 293 normal subgroups are shown.
This group has 778 conjugacy classes of subgroups — too many to draw. Only its 293 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×#13094031 | C2 | semidirect |
| 2. #15689606 | C2 | semidirect |
| 3. #15689128 | C2 | semidirect |
| 4. #15689124 | C2 | semidirect |
| 5. #15689119 | C2 | semidirect |
| 6. C2×#13093945 | C2 | semidirect |
| 9. C2×#10625329 | C22 | semidirect |
| 10. C22×C47⋊C8 | C22 | semidirect |
| 13. #13093983 | C22 | semidirect |
| 14. C2×C4⋊Dic47 | C22 | semidirect |
| 15. #13093948 | C22 | semidirect |
| 16. #13093948 | C22 | semidirect |
| 17. #13093945 | C22 | semidirect |
| 18. #13093945 | C22 | semidirect |
| 19. #13093945 | C22 | semidirect |
| 21. H(5,𝔽2)×C47 | C4 | semidirect |
| 31. #41×C47 | C2×C4 | semidirect |
| 39. C2×D4×C47 | C2×C4 | semidirect |
| 105. C47 | #2897 | semidirect |
| 107. H(5,𝔽2) | Dic47 | semidirect |
| 129. #41 | C2×Dic47 | semidirect |
| 137. C2×D4 | C2×Dic47 | semidirect |