Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
704 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 161 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×#15668042 | C2 | semidirect |
| 2. #19152169 | C2 | semidirect |
| 3. #19151781 | C2 | semidirect |
| 4. #19151776 | C2 | semidirect |
| 5. #19151615 | C2 | semidirect |
| 6. #19151582 | C2 | semidirect |
| 8. C22×Dic178 | C22 | semidirect |
| 10. #15668042 | C22 | semidirect |
| 13. C2×#13083558 | C22 | semidirect |
| 14. #15668010 | C22 | semidirect |
| 15. #15667999 | C22 | semidirect |
| 18. #15667971 | C22 | semidirect |
| 19. #15667939 | C22 | semidirect |
| 20. #15667931 | C22 | semidirect |
| 21. #15667929 | C22 | semidirect |
| 130. C89 | #3022 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668042 | 2 |
| #19152169 | 2 |
| #19151781 | 2 |
| #19151776 | 2 |
| #19151615 | 2 |
| #19151582 | 2 |
| #585×C89 | 2 |
| #3022 | 89 |