Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
778 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 778 conjugacy classes of subgroups — too many to draw. Only its 253 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 |
|---|---|---|
| 2. #15689606 | C2 | semidirect |
| 3. #15689129 | C2 | semidirect |
| 4. #15689125 | C2 | semidirect |
| 5. #15689120 | C2 | semidirect |
| 6. C2×#13093946 | C2 | semidirect |
| 7. C2×#131×C47 | C2 | semidirect |
| 9. #13094070 | C4 | semidirect |
| 16. #13093983 | C22 | semidirect |
| 17. C2×C4⋊Dic47 | C22 | semidirect |
| 18. #13093949 | C22 | semidirect |
| 19. #13093949 | C22 | semidirect |
| 20. #13093946 | C22 | semidirect |
| 21. #13093946 | C22 | semidirect |
| 22. #13093946 | C22 | semidirect |
| 25. C2×M16×C47 | C22 | semidirect |
| 26. C22×C8×C47 | C22 | semidirect |
| 38. #10625350 | C2×C4 | semidirect |
| 41. C2×D188 | C2×C4 | semidirect |
| 99. C2×#131 | D47 | semidirect |
| 105. C47 | #2897 | semidirect |
| 114. C2×M16 | C2×D47 | semidirect |
| 115. C22×C8 | C2×D47 | semidirect |