Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
532 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#15668009 | C2 | semidirect |
| 2. #19151974 | C2 | semidirect |
| 3. #19151946 | C2 | semidirect |
| 4. #19151793 | C2 | semidirect |
| 5. #19151731 | C2 | semidirect |
| 6. #19151651 | C2 | semidirect |
| 7. #532×C89 | C2 | semidirect |
| 11. C2×#13083559 | C22 | semidirect |
| 16. C4⋊#10623494 | C22 | semidirect |
| 17. #15667932 | C22 | semidirect |
| 19. C4×#10623494 | C22 | semidirect |
| 21. C4⋊Q8×C89 | C22 | semidirect |
| 22. #127×C89 | C22 | semidirect |
| 27. C4×D4×C89 | C22 | semidirect |
| 74. C2×C4×C89 | D8 | semidirect |
| 113. C89 | #3205 | semidirect |
| 114. #532 | D89 | semidirect |
| 126. C4⋊Q8 | C2×D89 | semidirect |
| 131. #127 | C2×D89 | semidirect |
| 136. C4×D4 | C2×D89 | semidirect |
| 193. C2×C4 | #13083559 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668009 | 2 |
| #19151974 | 2 |
| #19151946 | 2 |
| #19151793 | 2 |
| #19151731 | 2 |
| #19151651 | 2 |
| #532×C89 | 2 |
| #3205 | 89 |