Finite Group DatabasebetaFinite Group DatabasebetaOrder 8896.
268 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 99 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. #17984888 | C2 | semidirect |
| 2. #17984887 | C2 | semidirect |
| 3. #17984870 | C2 | semidirect |
| 4. #17984869 | C2 | semidirect |
| 5. #17984866 | C2 | semidirect |
| 6. #17984863 | C2 | semidirect |
| 7. #17984862 | C2 | semidirect |
| 8. C2×#14555770 | C2 | semidirect |
| 9. D8×D139 | C2 | semidirect |
| 10. #17984850 | C2 | semidirect |
| 11. AGL(1,ℤ/8)×C139 | C2 | semidirect |
| 12. #14555786 | C22 | semidirect |
| 15. #14555785 | C22 | semidirect |
| 17. #14555784 | C22 | semidirect |
| 19. C2×D556 | C22 | semidirect |
| 23. D4×D139 | C22 | semidirect |
| 24. D4×D139 | C22 | semidirect |
| 25. #14555775 | C22 | semidirect |
| 26. #14555774 | C22 | semidirect |
| 27. #14555773 | C22 | semidirect |
| 28. #14555772 | C22 | semidirect |
| 29. D1112 | C22 | semidirect |
| 30. #14555770 | C22 | semidirect |
| 31. #14555770 | C22 | semidirect |
| 32. #14555770 | C22 | semidirect |
| 33. #14555768 | C22 | semidirect |
| 34. C2×C139⋊C8 | C22 | semidirect |
| 35. C8×D139 | C22 | semidirect |
| 36. #41×C139 | C22 | semidirect |
| 37. C2×D4×C139 | C22 | semidirect |
| 38. SD16×C139 | C22 | semidirect |
| 39. D8×C139 | C22 | semidirect |
| 40. M16×C139 | C22 | semidirect |
| 93. C139 | #576 | semidirect |
| 100. AGL(1,ℤ/8) | D139 | semidirect |
| 112. #41 | C2×D139 | semidirect |
| 120. C2×D4 | C2×D139 | semidirect |
| 125. SD16 | C2×D139 | semidirect |
| 130. D8 | C2×D139 | semidirect |
| 132. M16 | C2×D139 | semidirect |