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×#15668034 | C2 | semidirect |
| 2. C22×#13083557 | C2 | semidirect |
| 3. #19152110 | C2 | semidirect |
| 4. #19151857 | C2 | semidirect |
| 5. #19151852 | C2 | semidirect |
| 6. #19151845 | C2 | semidirect |
| 7. #19151592 | C2 | semidirect |
| 8. #427×C89 | C2 | semidirect |
| 12. C2×Dic356 | C22 | semidirect |
| 13. C2×#13083563 | C22 | semidirect |
| 14. C2×D712 | C22 | semidirect |
| 24. #15667935 | C22 | semidirect |
| 25. #15667932 | C22 | semidirect |
| 28. #107×C89 | C22 | semidirect |
| 29. #106×C89 | C22 | semidirect |
| 54. C2×C8×C89 | D4 | semidirect |
| 106. C89 | #3054 | semidirect |
| 113. #427 | D89 | semidirect |
| 132. #107 | C2×D89 | semidirect |
| 133. #106 | C2×D89 | semidirect |
| 157. C2×C8 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668034 | 2 |
| C22×#13083557 | 2 |
| #19152110 | 2 |
| #19151857 | 2 |
| #19151852 | 2 |
| #19151845 | 2 |
| #19151592 | 2 |
| #427×C89 | 2 |
| #3054 | 89 |