Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
440 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 153 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. #19152155 | C2 | semidirect |
| 2. #19151898 | C2 | semidirect |
| 3. #19151888 | C2 | semidirect |
| 4. #19151878 | C2 | semidirect |
| 5. #19151638 | C2 | semidirect |
| 6. #19151622 | C2 | semidirect |
| 10. #15668012 | C22 | semidirect |
| 11. #15668012 | C22 | semidirect |
| 12. #15668004 | C22 | semidirect |
| 18. #15667945 | C22 | semidirect |
| 19. #15667943 | C22 | semidirect |
| 20. C4⋊#10623494 | C22 | semidirect |
| 21. C4⋊#10623494 | C22 | semidirect |
| 48. C2×D4×C89 | Q8 | semidirect |
| 116. C89 | #3077 | semidirect |
| 154. C2×D4 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19151898 | 2 |
| #19151888 | 2 |
| #19151878 | 2 |
| #19151638 | 2 |
| #19151622 | 2 |
| #19151603 | 2 |
| C2×C4×D4×C89 | 2 |
| #3077 | 89 |