Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
242 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19151654 | C2 | semidirect |
| 3. #19151650 | C2 | semidirect |
| 4. #19151345 | C2 | semidirect |
| 5. #19151343 | C2 | semidirect |
| 6. #19151342 | C2 | semidirect |
| 7. #331×C89 | C2 | semidirect |
| 97. C89 | #1553 | semidirect |
| 104. #331 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152146 | 2 |
| #19151654 | 2 |
| #19151650 | 2 |
| #19151345 | 2 |
| #19151343 | 2 |
| #19151342 | 2 |
| #331×C89 | 2 |
| #1553 | 89 |