Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19152172 | C2 | semidirect |
| 3. #19152081 | C2 | semidirect |
| 4. #19151822 | C2 | semidirect |
| 5. #19151815 | C2 | semidirect |
| 6. #19151806 | C2 | semidirect |
| 7. #19151801 | C2 | semidirect |
| 8. #19151626 | C2 | semidirect |
| 9. #19151600 | C2 | semidirect |
| 10. C2×#15667936 | C2 | semidirect |
| 11. C2×#137×C89 | C2 | semidirect |
| 147. C89 | #3046 | semidirect |
| 148. C2×#137 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668032 | 2 |
| #19152172 | 2 |
| #19152081 | 2 |
| #19151822 | 2 |
| #19151815 | 2 |
| #19151806 | 2 |
| #19151801 | 2 |
| #19151626 | 2 |
| #19151600 | 2 |
| C2×#15667936 | 2 |
| C2×#137×C89 | 2 |
| #3046 | 89 |