Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
528 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 181 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. #19152073 | C2 | semidirect |
| 3. #19152072 | C2 | semidirect |
| 4. #19151707 | C2 | semidirect |
| 5. #19151678 | C2 | semidirect |
| 6. #19151634 | C2 | semidirect |
| 7. #19151604 | C2 | semidirect |
| 8. #19151556 | C2 | semidirect |
| 9. #418×C89 | C2 | semidirect |
| 11. C2×#13083559 | C4 | semidirect |
| 17. D4×Dic89 | C22 | semidirect |
| 18. #15667974 | C22 | semidirect |
| 23. #15667945 | C22 | semidirect |
| 24. #15667943 | C22 | semidirect |
| 25. #15667934 | C22 | semidirect |
| 26. #15667922 | C22 | semidirect |
| 27. C8×Dic89 | C22 | semidirect |
| 31. #102×C89 | C22 | semidirect |
| 35. C2×D356 | C2×C4 | semidirect |
| 39. #13083559 | C2×C4 | semidirect |
| 40. #13083559 | C2×C4 | semidirect |
| 41. C2×#10623494 | C2×C4 | semidirect |
| 55. C2×D4×C89 | C2×C4 | semidirect |
| 109. C89 | #2948 | semidirect |
| 117. #418 | D89 | semidirect |
| 138. #102 | 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 |
| #19152073 | 2 |
| #19152072 | 2 |
| #19151707 | 2 |
| #19151678 | 2 |
| #19151634 | 2 |
| #19151604 | 2 |
| #19151556 | 2 |
| #418×C89 | 2 |
| #2948 | 89 |