Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
| 2. C2×#15668042 | C2 | semidirect |
| 4. C22×#13083564 | C2 | semidirect |
| 5. #19152174 | C2 | semidirect |
| 6. #19151993 | C2 | semidirect |
| 7. #19151990 | C2 | semidirect |
| 8. #19151980 | C2 | semidirect |
| 9. #19151977 | C2 | semidirect |
| 10. #19151554 | C2 | semidirect |
| 11. #536×C89 | C2 | semidirect |
| 144. C89 | #3156 | 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×#15668042 | 2 |
| C2×#15668032 | 2 |
| C22×#13083564 | 2 |
| #19152174 | 2 |
| #19151993 | 2 |
| #19151990 | 2 |
| #19151980 | 2 |
| #19151977 | 2 |
| #19151554 | 2 |
| #536×C89 | 2 |
| #3156 | 89 |