Finite Group DatabasebetaFinite Group DatabasebetaOrder 7232.
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×#14268647 | C2 | semidirect |
| 2. #16813653 | C2 | semidirect |
| 3. #16813652 | C2 | semidirect |
| 4. #16813648 | C2 | semidirect |
| 5. #16813647 | C2 | semidirect |
| 6. #16813642 | C2 | semidirect |
| 7. C2×#14268631 | C2 | semidirect |
| 8. C2×#41×C113 | C2 | semidirect |
| 12. #14268647 | C22 | semidirect |
| 13. C2×Dic226 | C22 | semidirect |
| 14. C2×D452 | C22 | semidirect |
| 17. #14268637 | C22 | semidirect |
| 18. #14268635 | C22 | semidirect |
| 19. #14268634 | C22 | semidirect |
| 20. #14268632 | C22 | semidirect |
| 21. #14268631 | C22 | semidirect |
| 22. #14268631 | C22 | semidirect |
| 23. C2×#11744751 | C22 | semidirect |
| 27. #41×C113 | C22 | semidirect |
| 28. C2×Q8×C113 | C22 | semidirect |
| 30. C2×D4×C113 | C22 | semidirect |
| 81. C113 | #575 | semidirect |
| 84. C2×#41 | D113 | semidirect |
| 98. #41 | C2×D113 | semidirect |
| 100. C2×Q8 | C2×D113 | semidirect |
| 104. C2×D4 | C2×D113 | semidirect |