Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152078 | C2 | semidirect |
| 3. #19151941 | C2 | semidirect |
| 4. #19151930 | C2 | semidirect |
| 5. #19151925 | C2 | semidirect |
| 6. #19151918 | C2 | semidirect |
| 7. C2×#15667943 | C2 | semidirect |
| 8. #19151600 | C2 | semidirect |
| 9. #19151592 | C2 | semidirect |
| 10. #19151566 | C2 | semidirect |
| 11. #428×C89 | C2 | semidirect |
| 134. C89 | #3099 | semidirect |
| 141. #428 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152179 | 2 |
| #19152078 | 2 |
| #19151941 | 2 |
| #19151930 | 2 |
| #19151925 | 2 |
| #19151918 | 2 |
| C2×#15667943 | 2 |
| #19151600 | 2 |
| #19151592 | 2 |
| #19151566 | 2 |
| #428×C89 | 2 |
| #3099 | 89 |