Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
342 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 3. #19151884 | C2 | semidirect |
| 4. #19151883 | C2 | semidirect |
| 5. #19151881 | C2 | semidirect |
| 8. #19151806 | C2 | semidirect |
| 9. #19151805 | C2 | semidirect |
| 11. #462×C89 | C2 | semidirect |
| 130. C89 | #3255 | semidirect |
| 140. #462 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19152152 | 2 |
| #19151884 | 2 |
| #19151883 | 2 |
| #19151881 | 2 |
| #19151855 | 2 |
| #19151853 | 2 |
| #19151806 | 2 |
| #19151805 | 2 |
| #19151620 | 2 |
| #462×C89 | 2 |
| #3255 | 89 |