Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 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 |
|---|---|---|
| 1. C22×#10625336 | C2 | semidirect |
| 2. C2×#13094031 | C2 | semidirect |
| 4. #15689371 | C2 | semidirect |
| 5. #15689354 | C2 | semidirect |
| 6. #15689159 | C2 | semidirect |
| 7. #15689132 | C2 | semidirect |
| 8. #15689127 | C2 | semidirect |
| 9. C47×#536 | C2 | semidirect |
| 16. C2×#10625329 | C22 | semidirect |
| 18. C22×C47⋊C8 | C22 | semidirect |
| 24. #13093957 | C22 | semidirect |
| 25. #13093955 | C22 | semidirect |
| 26. #13093948 | C22 | semidirect |
| 33. C22⋊Q8×C47 | C22 | semidirect |
| 67. C2×C47⋊C8 | D4 | semidirect |
| 123. #536 | D47 | semidirect |
| 130. C47 | #3057 | semidirect |
| 147. C22⋊Q8 | C2×D47 | semidirect |