Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
648 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 157 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×D376 | C2 | semidirect |
| 2. C22×#10625334 | C2 | semidirect |
| 3. C2×#13094020 | C2 | semidirect |
| 4. C2×#13093986 | C2 | semidirect |
| 5. #15689317 | C2 | direct (N × H) |
| 6. C2×Dic47⋊C8 | C2 | semidirect |
| 7. C2×#13093944 | C2 | semidirect |
| 8. C2×#102×C47 | C2 | semidirect |
| 15. C2×D376 | C22 | semidirect |
| 17. C2×#10625334 | C22 | semidirect |
| 20. #13094020 | C22 | semidirect |
| 22. #13093986 | C22 | semidirect |
| 25. Dic47⋊C8 | C22 | semidirect |
| 26. #13093944 | C22 | semidirect |
| 30. #102×C47 | C22 | semidirect |
| 51. C2×D188 | D4 | semidirect |
| 92. C2×Dic47 | D8 | semidirect |
| 100. D188 | C2×D4 | semidirect |
| 125. Dic47 | C2×D8 | semidirect |
| 128. C2×C47 | #459 | semidirect |
| 141. C2×#102 | D47 | semidirect |
| 142. C47 | C2×#459 | semidirect |
| 164. #102 | C2×D47 | semidirect |
| 263. C2 | #15689317 | direct (N × H) |