Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
282 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 282 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. #19151739 | C2 | semidirect |
| 3. #19151736 | C2 | semidirect |
| 4. #19151519 | C2 | semidirect |
| 5. #19151331 | C2 | semidirect |
| 6. #19151323 | C2 | semidirect |
| 7. #327×C89 | C2 | semidirect |
| 86. C2×Dic89 | SD16 | semidirect |
| 123. C89 | #1604 | semidirect |
| 129. #327 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152175 | 2 |
| #19151739 | 2 |
| #19151736 | 2 |
| #19151519 | 2 |
| #19151331 | 2 |
| #19151323 | 2 |
| #327×C89 | 2 |
| #1604 | 89 |