Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
390 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 1. #19152153 | C2 | semidirect |
| 3. #19151990 | C2 | semidirect |
| 4. #19151958 | C2 | semidirect |
| 5. #19151957 | C2 | semidirect |
| 6. #19151806 | C2 | semidirect |
| 7. #19151796 | C2 | semidirect |
| 8. #19151759 | C2 | semidirect |
| 9. #19151757 | C2 | semidirect |
| 10. #19151653 | C2 | semidirect |
| 11. #497×C89 | C2 | semidirect |
| 142. C89 | #3216 | semidirect |
| 146. #497 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19152147 | 2 |
| #19151990 | 2 |
| #19151958 | 2 |
| #19151957 | 2 |
| #19151806 | 2 |
| #19151796 | 2 |
| #19151759 | 2 |
| #19151757 | 2 |
| #19151653 | 2 |
| #497×C89 | 2 |
| #3216 | 89 |