Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 1. C2×#15668012 | C2 | semidirect |
| 3. #19152007 | C2 | semidirect |
| 4. #19151958 | C2 | semidirect |
| 5. #19151929 | C2 | semidirect |
| 7. #19151894 | C2 | semidirect |
| 8. #19151889 | C2 | semidirect |
| 9. #432×C89 | C2 | semidirect |
| 113. C89 | #3238 | semidirect |
| 122. #432 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668012 | 2 |
| #19152132 | 2 |
| #19152007 | 2 |
| #19151958 | 2 |
| #19151929 | 2 |
| #19151912 | 2 |
| #19151894 | 2 |
| #19151889 | 2 |
| #432×C89 | 2 |
| #3238 | 89 |