Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
564 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 137 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×#15668035 | C2 | semidirect |
| 2. C2×#15668033 | C2 | semidirect |
| 3. #19152149 | C2 | semidirect |
| 4. #19152147 | C2 | semidirect |
| 5. #19151991 | C2 | semidirect |
| 6. #19151990 | C2 | semidirect |
| 7. #19151988 | C2 | semidirect |
| 8. #19151987 | C2 | semidirect |
| 9. #19151984 | C2 | semidirect |
| 10. #97×D89 | C2 | semidirect |
| 11. #497×C89 | C2 | semidirect |
| 65. C8×D89 | D4 | semidirect |
| 134. C89 | #3150 | semidirect |
| 141. #497 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668035 | 2 |
| C2×#15668033 | 2 |
| #19152149 | 2 |
| #19152147 | 2 |
| #19151991 | 2 |
| #19151990 | 2 |
| #19151988 | 2 |
| #19151987 | 2 |
| #19151984 | 2 |
| #97×D89 | 2 |
| #497×C89 | 2 |
| #3150 | 89 |