Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
528 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 189 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 |
|---|---|---|
| 2. #19152072 | C2 | semidirect |
| 3. #19151708 | C2 | semidirect |
| 4. C4×#13083559 | C2 | semidirect |
| 5. #19151634 | C2 | semidirect |
| 6. #19151603 | C2 | semidirect |
| 7. #19151602 | C2 | semidirect |
| 8. #19151554 | C2 | semidirect |
| 9. #518×C89 | C2 | semidirect |
| 11. C2×#13083559 | C4 | semidirect |
| 16. C4×D356 | C22 | semidirect |
| 20. #15667945 | C22 | semidirect |
| 21. #15667943 | C22 | semidirect |
| 22. #15667933 | C22 | semidirect |
| 23. #15667932 | C22 | semidirect |
| 24. #15667923 | C22 | semidirect |
| 25. C4×#10623494 | C22 | semidirect |
| 28. C4×D4×C89 | C22 | semidirect |
| 35. C2×D356 | C2×C4 | semidirect |
| 38. #13083559 | C2×C4 | semidirect |
| 39. #13083559 | C2×C4 | semidirect |
| 41. C2×#10623494 | C2×C4 | semidirect |
| 52. C2×D4×C89 | C2×C4 | semidirect |
| 109. C89 | #2948 | semidirect |
| 112. #518 | D89 | semidirect |
| 129. C4×D4 | C2×D89 | semidirect |
| 149. C2×D4 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083559 | 2 |
| #19152072 | 2 |
| #19151708 | 2 |
| C4×#13083559 | 2 |
| #19151634 | 2 |
| #19151603 | 2 |
| #19151602 | 2 |
| #19151554 | 2 |
| #518×C89 | 2 |
| #2948 | 89 |