Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
758 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 758 conjugacy classes of subgroups — too many to draw. Only its 149 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×#10625352 | C2 | semidirect |
| 2. C2×#13094054 | C2 | semidirect |
| 3. #15689630 | C2 | semidirect |
| 4. #15689282 | C2 | semidirect |
| 5. #15689265 | C2 | semidirect |
| 6. #15689133 | C2 | semidirect |
| 7. #15689128 | C2 | semidirect |
| 8. #15689086 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C47 | C2 | semidirect |
| 19. C2×#10625337 | C22 | semidirect |
| 20. C2×#10625335 | C22 | semidirect |
| 23. #13094000 | C22 | semidirect |
| 24. #13093995 | C22 | semidirect |
| 28. #13093949 | C22 | semidirect |
| 29. #13093945 | C22 | semidirect |
| 30. (C2×D47)⋊C8 | C22 | semidirect |
| 34. C2×SD16×C47 | C22 | semidirect |
| 35. C2×D8×C47 | C22 | semidirect |
| 45. C2×D4×C47 | D4 | semidirect |
| 66. C2×Dic94 | D4 | semidirect |
| 148. C2×AGL(1,ℤ/8) | D47 | semidirect |
| 155. C47 | #3005 | semidirect |
| 170. C2×SD16 | C2×D47 | semidirect |
| 171. C2×D8 | C2×D47 | semidirect |
| 201. C2×D4 | C22⋊D47 | semidirect |