Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
416 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. #15689467 | C2 | direct (N × H) |
| 4. C2×#13093957 | C2 | semidirect |
| 5. C2×#13093949 | C2 | semidirect |
| 6. C2×#13093947 | C2 | semidirect |
| 8. C2×#106×C47 | C2 | semidirect |
| 21. #13093957 | C22 | semidirect |
| 22. #13093949 | C22 | semidirect |
| 23. #13093947 | C22 | semidirect |
| 28. #106×C47 | C22 | semidirect |
| 102. C2×C47 | #485 | semidirect |
| 111. C2×#106 | D47 | semidirect |
| 115. C47 | C2×#485 | semidirect |
| 132. #106 | C2×D47 | semidirect |
| 209. C2 | #15689467 | direct (N × H) |