Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
462 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19151922 | C2 | semidirect |
| 3. #19151916 | C2 | semidirect |
| 4. #19151911 | C2 | semidirect |
| 5. #19151641 | C2 | semidirect |
| 6. #19151602 | C2 | semidirect |
| 7. #19151562 | C2 | semidirect |
| 8. C2×#117×C89 | C2 | semidirect |
| 18. #15667945 | C22 | semidirect |
| 19. #15667943 | C22 | semidirect |
| 20. #15667932 | C22 | semidirect |
| 21. #15667932 | C22 | semidirect |
| 22. C22⋊#10623494 | C22 | semidirect |
| 23. C22⋊#10623494 | C22 | semidirect |
| 28. #117×C89 | C22 | semidirect |
| 29. C2×C4⋊C4×C89 | C22 | semidirect |
| 30. C2×C4⋊C4×C89 | C22 | semidirect |
| 126. C89 | #3094 | semidirect |
| 128. C2×#117 | D89 | semidirect |
| 146. #117 | C2×D89 | semidirect |
| 148. C2×C4⋊C4 | C2×D89 | semidirect |
| 149. C2×C4⋊C4 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667986 | 2 |
| #19151922 | 2 |
| #19151916 | 2 |
| #19151911 | 2 |
| #19151641 | 2 |
| #19151602 | 2 |
| #19151562 | 2 |
| C2×#117×C89 | 2 |
| #3094 | 89 |