Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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×#15668043 | C2 | semidirect |
| 3. C4×#13083574 | C2 | semidirect |
| 4. #19151817 | C2 | semidirect |
| 5. #19151810 | C2 | semidirect |
| 6. #19151622 | C2 | semidirect |
| 7. #19151607 | C2 | semidirect |
| 8. #19151603 | C2 | semidirect |
| 9. C2×#124×C89 | C2 | semidirect |
| 13. C2×#13083564 | C22 | semidirect |
| 15. C2×#13083561 | C22 | semidirect |
| 19. C4×Dic178 | C22 | semidirect |
| 20. C4×D356 | C22 | semidirect |
| 25. C4⋊#10623494 | C22 | semidirect |
| 26. #15667936 | C22 | semidirect |
| 126. C89 | #3040 | semidirect |
| 129. C2×#124 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668043 | 2 |
| C2×#15668038 | 2 |
| C4×#13083574 | 2 |
| #19151817 | 2 |
| #19151810 | 2 |
| #19151622 | 2 |
| #19151607 | 2 |
| #19151603 | 2 |
| C2×#124×C89 | 2 |
| #3040 | 89 |