Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
738 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 143 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×Q8×D47 | C2 | semidirect |
| 2. C2×#13094056 | C2 | semidirect |
| 4. #15689278 | C2 | semidirect |
| 5. #15689277 | C2 | semidirect |
| 6. #15689264 | C2 | semidirect |
| 7. #15689263 | C2 | semidirect |
| 8. #15689262 | C2 | semidirect |
| 9. #15689130 | C2 | semidirect |
| 10. #15689085 | C2 | semidirect |
| 11. C47×#451 | C2 | semidirect |
| 23. C2×#10625337 | C22 | semidirect |
| 24. C2×#10625325 | C22 | semidirect |
| 25. C2×#10625336 | C22 | semidirect |
| 35. #13093949 | C22 | semidirect |
| 36. #13093948 | C22 | semidirect |
| 37. #13093947 | C22 | semidirect |
| 41. C2×Q16×C47 | C22 | semidirect |
| 43. #103×C47 | C22 | semidirect |
| 61. Q8×D47 | D4 | semidirect |
| 141. C22×C47 | #137 | semidirect |
| 152. C2×D47 | #137 | semidirect |
| 175. #451 | D47 | semidirect |
| 181. C47 | #3004 | semidirect |
| 195. C2×Q16 | C2×D47 | semidirect |
| 211. #103 | C2×D47 | semidirect |
| 321. C22 | #13094056 | semidirect |