Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 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. #19152229 | C2 | semidirect |
| 3. #19151900 | C2 | semidirect |
| 4. #19151896 | C2 | semidirect |
| 5. #19151886 | C2 | semidirect |
| 6. #19151876 | C2 | semidirect |
| 7. #19151638 | C2 | semidirect |
| 8. #19151636 | C2 | semidirect |
| 9. #19151624 | C2 | semidirect |
| 14. #15668011 | C22 | semidirect |
| 16. #15668003 | C22 | semidirect |
| 26. #15667946 | C22 | semidirect |
| 27. #15667946 | C22 | semidirect |
| 28. #15667945 | C22 | semidirect |
| 29. #15667944 | C22 | semidirect |
| 30. #15667944 | C22 | semidirect |
| 31. #15667943 | C22 | semidirect |
| 32. #15667941 | C22 | semidirect |
| 33. #15667941 | C22 | semidirect |
| 66. C2×D4×C89 | Q8 | semidirect |
| 125. C89 | #3081 | semidirect |
| 170. C2×D4 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152229 | 2 |
| #19152073 | 2 |
| #19151900 | 2 |
| #19151896 | 2 |
| #19151886 | 2 |
| #19151876 | 2 |
| #19151638 | 2 |
| #19151636 | 2 |
| #19151624 | 2 |
| #19151603 | 2 |
| C2×#102×C89 | 2 |
| #3081 | 89 |