Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
492 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 129 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. #15689668 | C2 | semidirect |
| 2. C2×D4×Dic47 | C2 | semidirect |
| 3. #15689437 | C2 | semidirect |
| 4. #15689434 | C2 | semidirect |
| 5. #15689401 | C2 | semidirect |
| 6. #15689316 | C2 | semidirect |
| 7. #15689257 | C2 | semidirect |
| 8. D8×Dic47 | C2 | semidirect |
| 9. #15689203 | C2 | semidirect |
| 10. #15689173 | C2 | semidirect |
| 11. C47×#447 | C2 | semidirect |
| 15. #13094023 | C22 | semidirect |
| 16. #13094020 | C22 | semidirect |
| 24. D4×Dic47 | C22 | semidirect |
| 25. #13093986 | C22 | semidirect |
| 30. #13093958 | C22 | semidirect |
| 31. #13093957 | C22 | semidirect |
| 32. Dic47⋊C8 | C22 | semidirect |
| 33. #13093946 | C22 | semidirect |
| 35. #13093945 | C22 | semidirect |
| 37. C8×Dic47 | C22 | semidirect |
| 94. D4×C47 | #41 | semidirect |
| 109. C2×Dic47 | D8 | semidirect |
| 157. #447 | D47 | semidirect |
| 161. C47 | #3100 | semidirect |
| 249. D4 | #10625352 | semidirect |