Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
656 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 656 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. C2×#13094050 | C2 | semidirect |
| 2. #15689673 | C2 | semidirect |
| 3. #15689510 | C2 | semidirect |
| 4. #15689499 | C2 | semidirect |
| 5. #15689495 | C2 | semidirect |
| 6. C4×#10625329 | C2 | semidirect |
| 7. C2×#127×C47 | C2 | semidirect |
| 10. C2×#10625335 | C22 | semidirect |
| 11. C2×#10625334 | C22 | semidirect |
| 13. #13094024 | C22 | semidirect |
| 14. #13094021 | C22 | semidirect |
| 15. #13094012 | C22 | semidirect |
| 18. #13093935 | C22 | semidirect |
| 19. C4×C47⋊C8 | C22 | semidirect |
| 48. #10625329 | D4 | semidirect |
| 71. C47⋊C8 | C2×D4 | semidirect |
| 82. C4×C47 | AGL(1,ℤ/8) | semidirect |
| 93. C2×#127 | D47 | semidirect |
| 98. C47 | #3151 | semidirect |
| 174. C4 | #13094050 | semidirect |