Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 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. C2×#15668003 | C2 | semidirect |
| 3. #19151965 | C2 | semidirect |
| 4. #19151961 | C2 | semidirect |
| 5. #19151954 | C2 | semidirect |
| 6. #19151951 | C2 | semidirect |
| 7. #19151600 | C2 | semidirect |
| 8. #19151599 | C2 | semidirect |
| 9. #19151597 | C2 | semidirect |
| 10. M16×Dic89 | C2 | semidirect |
| 11. #417×C89 | C2 | semidirect |
| 147. C89 | #3142 | semidirect |
| 157. #417 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152144 | 2 |
| C2×#15668003 | 2 |
| #19151965 | 2 |
| #19151961 | 2 |
| #19151954 | 2 |
| #19151951 | 2 |
| #19151600 | 2 |
| #19151599 | 2 |
| #19151597 | 2 |
| M16×Dic89 | 2 |
| #417×C89 | 2 |
| #3142 | 89 |