Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 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. C2×#15668043 | C2 | semidirect |
| 3. #19152365 | C2 | semidirect |
| 4. #19151871 | C2 | semidirect |
| 5. #19151863 | C2 | semidirect |
| 6. #19151646 | C2 | semidirect |
| 7. #19151580 | C2 | semidirect |
| 8. C2×#15667931 | C2 | semidirect |
| 9. C2×#137×C89 | C2 | semidirect |
| 18. C2×#13083564 | C22 | semidirect |
| 19. C2×#13083561 | C22 | semidirect |
| 26. #15667947 | C22 | semidirect |
| 27. #15667931 | C22 | semidirect |
| 28. #15667930 | C22 | semidirect |
| 29. #15667928 | C22 | semidirect |
| 143. C89 | #3069 | semidirect |
| 146. C2×#137 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152396 | 2 |
| C2×#15668043 | 2 |
| #19152365 | 2 |
| #19151871 | 2 |
| #19151863 | 2 |
| #19151646 | 2 |
| #19151580 | 2 |
| C2×#15667931 | 2 |
| C2×#137×C89 | 2 |
| #3069 | 89 |