Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
458 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 185 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. #15689889 | C2 | semidirect |
| 3. #15689246 | C2 | semidirect |
| 4. #15689241 | C2 | semidirect |
| 5. #15689172 | C2 | semidirect |
| 6. C2×#13093952 | C2 | semidirect |
| 7. C4×M16×C47 | C2 | semidirect |
| 9. #13094057 | C4 | semidirect |
| 10. #13094052 | C4 | semidirect |
| 13. #13094030 | C22 | semidirect |
| 16. #13093960 | C22 | semidirect |
| 17. #13093952 | C22 | semidirect |
| 18. #13093952 | C22 | semidirect |
| 22. #97×C47 | C22 | semidirect |
| 23. C4×C8×C47 | C22 | semidirect |
| 44. Dic188 | C2×C4 | semidirect |
| 45. D376 | C2×C4 | semidirect |
| 46. #10625325 | C2×C4 | semidirect |
| 92. C4×M16 | D47 | semidirect |
| 93. C47 | #2956 | semidirect |
| 108. #97 | C2×D47 | semidirect |
| 109. C4×C8 | C2×D47 | semidirect |