Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
450 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 129 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. #19152132 | C2 | semidirect |
| 2. #19151928 | C2 | semidirect |
| 3. #19151911 | C2 | semidirect |
| 4. #19151898 | C2 | semidirect |
| 5. #19151813 | C2 | semidirect |
| 6. #19151749 | C2 | semidirect |
| 8. #19151708 | C2 | semidirect |
| 9. #19151698 | C2 | semidirect |
| 10. #19151655 | C2 | semidirect |
| 11. C2×C4×D4×C89 | C2 | semidirect |
| 15. #15668004 | C22 | semidirect |
| 16. #15668000 | C22 | semidirect |
| 20. C4×Dic178 | C22 | semidirect |
| 21. C4×D356 | C22 | semidirect |
| 24. #15667945 | C22 | semidirect |
| 25. #15667943 | C22 | semidirect |
| 26. C4⋊#10623494 | C22 | semidirect |
| 27. #15667935 | C22 | semidirect |
| 30. #15667932 | C22 | semidirect |
| 33. #15667923 | C22 | semidirect |
| 141. C89 | #3114 | semidirect |
| 143. C2×C4×D4 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19151928 | 2 |
| #19151911 | 2 |
| #19151898 | 2 |
| #19151813 | 2 |
| #19151749 | 2 |
| #19151732 | 2 |
| #19151708 | 2 |
| #19151698 | 2 |
| #19151655 | 2 |
| C2×C4×D4×C89 | 2 |
| #3114 | 89 |