Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
356 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 3. #19152001 | C2 | semidirect |
| 4. #19151935 | C2 | semidirect |
| 5. #19151932 | C2 | semidirect |
| 6. #19151894 | C2 | semidirect |
| 7. #19151838 | C2 | semidirect |
| 8. C4×#13083564 | C2 | semidirect |
| 10. #107×D89 | C2 | semidirect |
| 11. #477×C89 | C2 | semidirect |
| 87. D356 | Q16 | semidirect |
| 118. C89 | #3338 | semidirect |
| 125. #477 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152309 | 2 |
| #19152308 | 2 |
| #19152001 | 2 |
| #19151935 | 2 |
| #19151932 | 2 |
| #19151894 | 2 |
| #19151838 | 2 |
| C4×#13083564 | 2 |
| #19151663 | 2 |
| #107×D89 | 2 |
| #477×C89 | 2 |
| #3338 | 89 |