Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
388 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 117 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. #15689699 | C2 | semidirect |
| 2. #15689510 | C2 | semidirect |
| 3. #15689495 | C2 | semidirect |
| 4. #15689493 | C2 | semidirect |
| 5. #15689480 | C2 | semidirect |
| 6. #15689338 | C2 | semidirect |
| 7. #15689328 | C2 | semidirect |
| 8. #15689266 | C2 | semidirect |
| 9. #15689261 | C2 | semidirect |
| 10. #15689184 | C2 | semidirect |
| 11. C47×#540 | C2 | semidirect |
| 121. #540 | D47 | semidirect |
| 132. C47 | #3221 | semidirect |