Finite Group DatabasebetaFinite Group DatabasebetaOrder 8896.
262 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 107 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×#14555785 | C2 | semidirect |
| 2. #17984873 | C2 | semidirect |
| 3. #17984872 | C2 | semidirect |
| 4. #17984868 | C2 | semidirect |
| 5. #17984867 | C2 | semidirect |
| 6. #17984862 | C2 | semidirect |
| 7. C2×#14555769 | C2 | semidirect |
| 8. C2×#41×C139 | C2 | semidirect |
| 12. #14555785 | C22 | semidirect |
| 13. C2×Dic278 | C22 | semidirect |
| 14. C2×D556 | C22 | semidirect |
| 17. #14555775 | C22 | semidirect |
| 18. #14555773 | C22 | semidirect |
| 19. #14555772 | C22 | semidirect |
| 20. #14555770 | C22 | semidirect |
| 21. #14555769 | C22 | semidirect |
| 22. #14555769 | C22 | semidirect |
| 23. C2×C139⋊C8 | C22 | semidirect |
| 27. #41×C139 | C22 | semidirect |
| 28. C2×Q8×C139 | C22 | semidirect |
| 30. C2×D4×C139 | C22 | semidirect |
| 81. C139 | #575 | semidirect |
| 84. C2×#41 | D139 | semidirect |
| 98. #41 | C2×D139 | semidirect |
| 100. C2×Q8 | C2×D139 | semidirect |
| 104. C2×D4 | C2×D139 | semidirect |