Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
584 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 145 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×#13094049 | C2 | semidirect |
| 2. C2×#13094020 | C2 | semidirect |
| 3. #41×Dic47 | C2 | semidirect |
| 4. #15689321 | C2 | semidirect |
| 5. #15689316 | C2 | semidirect |
| 6. #15689146 | C2 | semidirect |
| 7. #15689129 | C2 | semidirect |
| 8. #15689128 | C2 | semidirect |
| 9. C2×AGL(1,ℤ/8)×C47 | C2 | semidirect |
| 13. C2×#10625336 | C22 | semidirect |
| 14. C2×#10625334 | C22 | semidirect |
| 19. Q8×Dic47 | C22 | semidirect |
| 21. D4×Dic47 | C22 | semidirect |
| 26. Dic47⋊C8 | C22 | semidirect |
| 27. #13093946 | C22 | semidirect |
| 28. #13093945 | C22 | semidirect |
| 32. C2×SD16×C47 | C22 | semidirect |
| 33. C2×D8×C47 | C22 | semidirect |
| 38. #41×C47 | D4 | semidirect |
| 83. Q8×C47 | C2×D4 | semidirect |
| 89. D4×C47 | C2×D4 | semidirect |
| 125. Dic47 | AGL(1,ℤ/8) | semidirect |
| 134. C2×AGL(1,ℤ/8) | D47 | semidirect |
| 142. C47 | #3038 | semidirect |
| 150. C2×SD16 | C2×D47 | semidirect |
| 152. C2×D8 | C2×D47 | semidirect |
| 171. #41 | C22⋊D47 | semidirect |
| 216. Q8 | C2×C22⋊D47 | semidirect |
| 227. D4 | C2×C22⋊D47 | semidirect |