Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
462 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19152309 | C2 | semidirect |
| 3. #19151915 | C2 | semidirect |
| 4. #19151885 | C2 | semidirect |
| 5. #19151826 | C2 | semidirect |
| 6. #19151795 | C2 | semidirect |
| 7. #19151750 | C2 | semidirect |
| 8. C4×#13083563 | C2 | semidirect |
| 9. C8×D356 | C2 | semidirect |
| 10. #102×D89 | C2 | semidirect |
| 11. #486×C89 | C2 | semidirect |
| 15. C2×#13083562 | C22 | semidirect |
| 16. C2×C8×D89 | C22 | semidirect |
| 18. #15667992 | C22 | semidirect |
| 23. C4×Dic178 | C22 | semidirect |
| 27. C4⋊C4×D89 | C22 | semidirect |
| 28. #15667944 | C22 | semidirect |
| 29. #15667943 | C22 | semidirect |
| 30. C4⋊#10623494 | C22 | semidirect |
| 31. #15667937 | C22 | semidirect |
| 33. #15667933 | C22 | semidirect |
| 35. #15667924 | C22 | semidirect |
| 36. C4⋊Q8×C89 | C22 | semidirect |
| 38. #102×C89 | C22 | semidirect |
| 39. #102×C89 | C22 | semidirect |
| 40. C4×C8×C89 | C22 | semidirect |
| 99. D356 | SD16 | semidirect |
| 137. C89 | #3295 | semidirect |
| 140. #486 | D89 | semidirect |
| 154. C4⋊Q8 | C2×D89 | semidirect |
| 174. #102 | C2×D89 | semidirect |
| 175. #102 | C2×D89 | semidirect |
| 177. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152309 | 2 |
| #19152233 | 2 |
| #19151915 | 2 |
| #19151885 | 2 |
| #19151826 | 2 |
| #19151795 | 2 |
| #19151750 | 2 |
| C4×#13083563 | 2 |
| C8×D356 | 2 |
| #102×D89 | 2 |
| #486×C89 | 2 |
| #3295 | 89 |