Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
368 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152005 | C2 | semidirect |
| 4. #19151961 | C2 | semidirect |
| 5. #19151916 | C2 | semidirect |
| 6. #19151912 | C2 | semidirect |
| 7. #19151909 | C2 | semidirect |
| 8. #19151897 | C2 | semidirect |
| 9. #19151896 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 11. #481×C89 | C2 | semidirect |
| 135. C89 | #3234 | semidirect |
| 141. #481 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152143 | 2 |
| C2×#15668003 | 2 |
| #19152005 | 2 |
| #19151961 | 2 |
| #19151916 | 2 |
| #19151912 | 2 |
| #19151909 | 2 |
| #19151897 | 2 |
| #19151896 | 2 |
| #19151652 | 2 |
| #481×C89 | 2 |
| #3234 | 89 |