Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
154 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 51 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. #19151719 | C2 | semidirect |
| 3. #19151710 | C2 | semidirect |
| 4. #19151422 | C2 | semidirect |
| 5. #19151409 | C2 | semidirect |
| 6. #19151375 | C2 | semidirect |
| 7. #361×C89 | C2 | semidirect |
| 11. #15667956 | C4 | semidirect |
| 12. #15667953 | C4 | semidirect |
| 23. Dic356 | C2×C4 | semidirect |
| 25. D712 | C2×C4 | semidirect |
| 32. #13083549 | C2×C4 | semidirect |
| 69. C89 | AGL(1,ℤ/16) | semidirect |
| 74. #361 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152034 | 2 |
| #19151719 | 2 |
| #19151710 | 2 |
| #19151422 | 2 |
| #19151409 | 2 |
| #19151375 | 2 |
| #361×C89 | 2 |
| AGL(1,ℤ/16) | 89 |