Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
548 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 153 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×#13094050 | C2 | semidirect |
| 2. #15689673 | C2 | semidirect |
| 3. #15689338 | C2 | semidirect |
| 4. #15689328 | C2 | semidirect |
| 5. #15689318 | C2 | semidirect |
| 6. #15689147 | C2 | semidirect |
| 7. #15689122 | C2 | semidirect |
| 8. C2×C4×D4×C47 | C2 | semidirect |
| 14. #13094024 | C22 | semidirect |
| 15. #13094021 | C22 | semidirect |
| 16. #13094012 | C22 | semidirect |
| 21. C4⋊(C47⋊C8) | C22 | semidirect |
| 22. C4⋊(C47⋊C8) | C22 | semidirect |
| 23. #13093947 | C22 | semidirect |
| 24. #13093944 | C22 | semidirect |
| 37. C2×D4×C47 | D4 | semidirect |
| 119. C4×C47 | AGL(1,ℤ/8) | semidirect |
| 132. C2×C4×D4 | D47 | semidirect |
| 138. C47 | #3036 | semidirect |
| 174. C2×D4 | D188 | semidirect |
| 250. C4 | #13094050 | semidirect |