Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
246 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 246 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. #19151916 | C2 | semidirect |
| 3. #19151536 | C2 | semidirect |
| 4. #19151333 | C2 | semidirect |
| 5. #19151332 | C2 | semidirect |
| 6. #19151323 | C2 | semidirect |
| 7. #481×C89 | C2 | semidirect |
| 114. C89 | #1616 | semidirect |
| 117. #481 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152175 | 2 |
| #19151916 | 2 |
| #19151536 | 2 |
| #19151333 | 2 |
| #19151332 | 2 |
| #19151323 | 2 |
| #481×C89 | 2 |
| #1616 | 89 |