Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
572 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 165 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×#13094057 | C2 | semidirect |
| 2. C2×#13094052 | C2 | semidirect |
| 3. #15689673 | C2 | semidirect |
| 4. C2×#13094012 | C2 | semidirect |
| 5. #15689517 | C2 | semidirect |
| 6. #15689512 | C2 | semidirect |
| 7. #15689507 | C2 | semidirect |
| 8. C4×M16×C47 | C2 | semidirect |
| 14. C2×Dic188 | C22 | semidirect |
| 16. C2×#10625325 | C22 | semidirect |
| 18. #13094024 | C22 | semidirect |
| 19. #13094021 | C22 | semidirect |
| 23. #13094012 | C22 | semidirect |
| 29. #97×C47 | C22 | semidirect |
| 30. C4×C8×C47 | C22 | semidirect |
| 48. M16×C47 | D4 | semidirect |
| 114. C4×M16 | D47 | semidirect |
| 115. C47 | #3153 | semidirect |
| 136. #97 | C2×D47 | semidirect |
| 137. C4×C8 | C2×D47 | semidirect |
| 159. M16 | D188 | semidirect |