Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
548 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 145 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×#13094049 | C2 | semidirect |
| 2. C2×C4×D188 | C2 | semidirect |
| 3. #15689335 | C2 | semidirect |
| 4. #15689325 | C2 | semidirect |
| 5. #15689315 | C2 | semidirect |
| 6. #15689147 | C2 | semidirect |
| 7. #15689124 | C2 | semidirect |
| 8. C47×#532 | C2 | semidirect |
| 21. C4⋊(C47⋊C8) | C22 | semidirect |
| 22. C4⋊(C47⋊C8) | C22 | semidirect |
| 23. #13093948 | C22 | semidirect |
| 24. #13093945 | C22 | semidirect |
| 26. C4⋊Q8×C47 | C22 | semidirect |
| 27. #127×C47 | C22 | semidirect |
| 28. #124×C47 | C22 | semidirect |
| 49. C2×D188 | D4 | semidirect |
| 119. C4×C47 | AGL(1,ℤ/8) | semidirect |
| 131. #532 | D47 | semidirect |
| 138. C47 | #3036 | semidirect |
| 146. C4⋊Q8 | C2×D47 | semidirect |
| 147. #127 | C2×D47 | semidirect |
| 148. #124 | C2×D47 | semidirect |
| 250. C4 | #13094049 | semidirect |