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 |
|---|---|---|
| 1. C2×#15668045 | C2 | semidirect |
| 3. #19152174 | C2 | semidirect |
| 4. #19152078 | C2 | semidirect |
| 5. #19151821 | C2 | semidirect |
| 6. #19151814 | C2 | semidirect |
| 7. #19151809 | C2 | semidirect |
| 8. #19151804 | C2 | semidirect |
| 9. #19151600 | C2 | semidirect |
| 10. C2×#15667937 | C2 | semidirect |
| 11. #424×C89 | C2 | semidirect |
| 147. C89 | #3046 | semidirect |
| 156. #424 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668045 | 2 |
| C2×#15668034 | 2 |
| #19152174 | 2 |
| #19152078 | 2 |
| #19151821 | 2 |
| #19151814 | 2 |
| #19151809 | 2 |
| #19151804 | 2 |
| #19151600 | 2 |
| C2×#15667937 | 2 |
| #424×C89 | 2 |
| #3046 | 89 |