Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
496 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 135 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. C2×#13094055 | C2 | semidirect |
| 2. C2×M16×D47 | C2 | semidirect |
| 4. C2×#13094000 | C2 | semidirect |
| 5. #15689380 | C2 | semidirect |
| 6. #15689372 | C2 | semidirect |
| 7. #15689363 | C2 | semidirect |
| 8. #15689355 | C2 | semidirect |
| 9. #15689166 | C2 | semidirect |
| 10. #15689125 | C2 | semidirect |
| 11. C47×#419 | C2 | semidirect |
| 15. C2×#10625337 | C22 | semidirect |
| 16. C2×#10625336 | C22 | semidirect |
| 36. #13093957 | C22 | semidirect |
| 37. #13093955 | C22 | semidirect |
| 38. #13093949 | C22 | semidirect |
| 39. #13093946 | C22 | semidirect |
| 43. #103×C47 | C22 | semidirect |
| 44. #103×C47 | C22 | semidirect |
| 88. #10625329 | D4 | semidirect |
| 145. C2×D47 | #137 | semidirect |
| 173. #419 | D47 | semidirect |
| 175. C47 | #3056 | semidirect |
| 206. #103 | C2×D47 | semidirect |
| 207. #103 | C2×D47 | semidirect |