Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
400 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 113 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. #15689675 | C2 | semidirect |
| 3. #15689516 | C2 | semidirect |
| 4. #15689484 | C2 | semidirect |
| 5. #15689348 | C2 | semidirect |
| 6. #15689347 | C2 | semidirect |
| 7. #15689279 | C2 | semidirect |
| 10. #15689177 | C2 | semidirect |
| 11. C47×#451 | C2 | semidirect |
| 13. C2×#10625337 | C22 | semidirect |
| 16. #13094023 | C22 | semidirect |
| 17. #13094022 | C22 | semidirect |
| 25. Q8×Dic47 | C22 | semidirect |
| 27. #13093989 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 33. #13093948 | C22 | semidirect |
| 37. #13093934 | C22 | semidirect |
| 39. C2×Q16×C47 | C22 | semidirect |
| 41. #103×C47 | C22 | semidirect |
| 147. #451 | D47 | semidirect |
| 151. C47 | #3215 | semidirect |
| 155. C2×Q16 | C2×D47 | semidirect |
| 177. #103 | C2×D47 | semidirect |