Finite Group DatabasebetaFinite Group DatabasebetaOrder 2752.
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×#10621898 | C2 | semidirect |
| 2. #13063356 | C2 | semidirect |
| 3. #13063355 | C2 | semidirect |
| 4. #13063351 | C2 | semidirect |
| 5. #13063350 | C2 | semidirect |
| 6. #13063345 | C2 | semidirect |
| 7. C2×#10621877 | C2 | semidirect |
| 8. C2×#41×C43 | C2 | semidirect |
| 12. #41×C43 | C22 | semidirect |
| 13. C2×Q8×C43 | C22 | semidirect |
| 15. C2×D4×C43 | C22 | semidirect |
| 22. #10621898 | C22 | semidirect |
| 23. C2×D172 | C22 | semidirect |
| 25. C2×Dic86 | C22 | semidirect |
| 26. #10621885 | C22 | semidirect |
| 27. #10621884 | C22 | semidirect |
| 28. #10621883 | C22 | semidirect |
| 29. #10621882 | C22 | semidirect |
| 30. #10621877 | C22 | semidirect |
| 31. #10621877 | C22 | semidirect |
| 32. C2×C43⋊C8 | C22 | semidirect |
| 82. C43 | #575 | semidirect |
| 84. C2×#41 | D43 | semidirect |
| 98. #41 | C2×D43 | semidirect |
| 100. C2×Q8 | C2×D43 | semidirect |
| 104. C2×D4 | C2×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10621898 | 2 |
| #13063356 | 2 |
| #13063355 | 2 |
| #13063351 | 2 |
| #13063350 | 2 |
| #13063345 | 2 |
| C2×#10621877 | 2 |
| C2×#41×C43 | 2 |
| #575 | 43 |