Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
1464 conjugacy classes of subgroups; only the 545 normal subgroups are shown.
This group has 1464 conjugacy classes of subgroups — too many to draw. Only its 545 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. #15689959 | C2 | semidirect |
| 2. #15689934 | C2 | semidirect |
| 3. #15689926 | C2 | semidirect |
| 4. #15689921 | C2 | semidirect |
| 5. C2×#13094050 | C2 | semidirect |
| 6. #15689890 | C2 | semidirect |
| 7. C2×H(5,𝔽2)×C47 | C2 | semidirect |
| 9. #13094071 | C22 | semidirect |
| 10. #13094070 | C22 | semidirect |
| 12. C2×#10625350 | C22 | semidirect |
| 14. #13094055 | C22 | semidirect |
| 15. #13094054 | C22 | semidirect |
| 16. #13094050 | C22 | semidirect |
| 17. #13094050 | C22 | semidirect |
| 18. #13094049 | C22 | semidirect |
| 19. #13094044 | C22 | semidirect |
| 20. C2×#10625335 | C22 | semidirect |
| 21. C2×#10625334 | C22 | semidirect |
| 22. #13094031 | C22 | semidirect |
| 23. C2×#10625329 | C22 | semidirect |
| 25. H(5,𝔽2)×C47 | C22 | semidirect |
| 28. C2×#41×C47 | C22 | semidirect |
| 30. C22×D4×C47 | C22 | semidirect |
| 56. #10625350 | C23 | semidirect |
| 57. C2×D188 | C23 | semidirect |
| 59. C2×Dic94 | C23 | semidirect |
| 60. #10625337 | C23 | semidirect |
| 61. #10625336 | C23 | semidirect |
| 62. #10625335 | C23 | semidirect |
| 63. #10625334 | C23 | semidirect |
| 65. #10625329 | C23 | semidirect |
| 66. C2×C47⋊C8 | C23 | semidirect |
| 116. C2×H(5,𝔽2) | D47 | semidirect |
| 122. C47 | #3585 | semidirect |
| 128. H(5,𝔽2) | C2×D47 | semidirect |
| 133. C2×#41 | C2×D47 | semidirect |
| 135. C22×D4 | C2×D47 | semidirect |