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×#15668043 | C2 | semidirect |
| 3. #19152078 | C2 | semidirect |
| 4. #19151817 | C2 | semidirect |
| 5. #19151810 | C2 | semidirect |
| 6. #19151805 | C2 | semidirect |
| 7. #19151800 | C2 | semidirect |
| 8. #19151625 | C2 | semidirect |
| 9. #19151599 | C2 | semidirect |
| 10. C2×#15667936 | C2 | semidirect |
| 11. #536×C89 | C2 | semidirect |
| 147. C89 | #3046 | semidirect |
| 150. #536 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668043 | 2 |
| C2×#15668032 | 2 |
| #19152078 | 2 |
| #19151817 | 2 |
| #19151810 | 2 |
| #19151805 | 2 |
| #19151800 | 2 |
| #19151625 | 2 |
| #19151599 | 2 |
| C2×#15667936 | 2 |
| #536×C89 | 2 |
| #3046 | 89 |