Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
994 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 994 conjugacy classes of subgroups — too many to draw. Only its 173 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×#15668038 | C2 | semidirect |
| 2. #19152109 | C2 | semidirect |
| 3. #19151749 | C2 | semidirect |
| 4. #19151732 | C2 | semidirect |
| 5. #19151603 | C2 | semidirect |
| 6. #19151562 | C2 | semidirect |
| 7. C23×D4×C89 | C2 | semidirect |
| 8. C2×#13083574 | C22 | semidirect |
| 10. C2×#13083562 | C22 | semidirect |
| 11. C2×#13083559 | C22 | semidirect |
| 12. C2×#13083558 | C22 | semidirect |
| 14. #15667991 | C22 | semidirect |
| 15. #15667986 | C22 | semidirect |
| 18. #15667971 | C22 | semidirect |
| 19. #15667933 | C22 | semidirect |
| 20. C22⋊#10623494 | C22 | semidirect |
| 29. C2×Dic178 | C23 | semidirect |
| 30. C2×D356 | C23 | semidirect |
| 37. C2×#10623494 | C23 | semidirect |
| 38. C4⋊Dic89 | C23 | semidirect |
| 55. C2×D4×C89 | D4 | semidirect |
| 102. C22×C89 | AGL(1,ℤ/8) | semidirect |
| 118. C89 | #3003 | semidirect |
| 119. C23×D4 | D89 | semidirect |
| 162. C2×D4 | C22⋊D89 | semidirect |
| 222. C22 | #15668038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668038 | 2 |
| #19152109 | 2 |
| #19151749 | 2 |
| #19151732 | 2 |
| #19151603 | 2 |
| #19151562 | 2 |
| C23×D4×C89 | 2 |
| #3003 | 89 |