Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
520 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 520 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. C2×#15668036 | C2 | semidirect |
| 2. #19152243 | C2 | semidirect |
| 3. #19151982 | C2 | semidirect |
| 4. #19151845 | C2 | semidirect |
| 5. #19151813 | C2 | semidirect |
| 6. #19151761 | C2 | semidirect |
| 7. #19151733 | C2 | semidirect |
| 8. #19151677 | C2 | semidirect |
| 9. C4×D8×C89 | C2 | semidirect |
| 11. C2×D4×D89 | C22 | semidirect |
| 13. C2×Dic356 | C22 | semidirect |
| 14. C2×#13083563 | C22 | semidirect |
| 15. C2×#13083562 | C22 | semidirect |
| 18. C2×#13083557 | C22 | semidirect |
| 19. #15668000 | C22 | semidirect |
| 21. #15667992 | C22 | semidirect |
| 27. C4⋊#10623494 | C22 | semidirect |
| 28. #15667935 | C22 | semidirect |
| 29. #15667932 | C22 | semidirect |
| 30. #15667924 | C22 | semidirect |
| 32. C4×D4×C89 | C22 | semidirect |
| 33. #107×C89 | C22 | semidirect |
| 34. #102×C89 | C22 | semidirect |
| 35. C4×C8×C89 | C22 | semidirect |
| 65. D8×C89 | D4 | semidirect |
| 125. C89 | #3273 | semidirect |
| 133. C4×D8 | D89 | semidirect |
| 152. C4×D4 | C2×D89 | semidirect |
| 154. #107 | C2×D89 | semidirect |
| 158. #102 | C2×D89 | semidirect |
| 160. C4×C8 | C2×D89 | semidirect |
| 181. D8 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668036 | 2 |
| #19152243 | 2 |
| #19151982 | 2 |
| #19151845 | 2 |
| #19151813 | 2 |
| #19151761 | 2 |
| #19151733 | 2 |
| #19151677 | 2 |
| C4×D8×C89 | 2 |
| #3273 | 89 |