Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
428 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 428 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×#15667977 | C2 | semidirect |
| 3. #19151916 | C2 | semidirect |
| 4. #19151882 | C2 | semidirect |
| 5. #19151797 | C2 | semidirect |
| 6. #19151739 | C2 | semidirect |
| 7. #19151736 | C2 | semidirect |
| 8. #19151689 | C2 | semidirect |
| 9. #19151685 | C2 | semidirect |
| 10. #19151648 | C2 | semidirect |
| 11. #481×C89 | C2 | semidirect |
| 101. C2×Dic89 | SD16 | semidirect |
| 111. Dic178 | #41 | semidirect |
| 141. C89 | #3103 | semidirect |
| 145. #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×#15667977 | 2 |
| #19151916 | 2 |
| #19151882 | 2 |
| #19151797 | 2 |
| #19151739 | 2 |
| #19151736 | 2 |
| #19151689 | 2 |
| #19151685 | 2 |
| #19151648 | 2 |
| #481×C89 | 2 |
| #3103 | 89 |