Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
492 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 492 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. #19152075 | C2 | semidirect |
| 4. #19151695 | C2 | semidirect |
| 5. #19151689 | C2 | semidirect |
| 6. #19151634 | C2 | semidirect |
| 7. #19151608 | C2 | semidirect |
| 8. #19151556 | C2 | semidirect |
| 11. C2×#13083562 | C4 | semidirect |
| 16. #15667977 | C22 | semidirect |
| 23. #15667945 | C22 | semidirect |
| 24. #15667943 | C22 | semidirect |
| 25. #15667937 | C22 | semidirect |
| 26. #15667922 | C22 | semidirect |
| 27. C8×Dic89 | C22 | semidirect |
| 34. C2×Dic178 | C2×C4 | semidirect |
| 38. #13083562 | C2×C4 | semidirect |
| 39. #13083562 | C2×C4 | semidirect |
| 40. C2×#10623494 | C2×C4 | semidirect |
| 104. C89 | #2949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083562 | 2 |
| #19152075 | 2 |
| #19152073 | 2 |
| #19151695 | 2 |
| #19151689 | 2 |
| #19151634 | 2 |
| #19151608 | 2 |
| #19151556 | 2 |
| #418×C89 | 2 |
| #2949 | 89 |