Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
724 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 724 conjugacy classes of subgroups — too many to draw. Only its 145 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. #19152434 | C2 | semidirect |
| 2. #19152396 | C2 | semidirect |
| 3. #19151780 | C2 | semidirect |
| 4. #19151775 | C2 | semidirect |
| 5. #19151770 | C2 | semidirect |
| 6. #19151765 | C2 | semidirect |
| 7. C2×#15667940 | C2 | semidirect |
| 8. #19151582 | C2 | semidirect |
| 9. #532×C89 | C2 | semidirect |
| 18. #15668043 | C22 | semidirect |
| 20. #15668038 | C22 | semidirect |
| 23. C2×#13083558 | C22 | semidirect |
| 24. #15667940 | C22 | semidirect |
| 25. #15667940 | C22 | semidirect |
| 26. #15667931 | C22 | semidirect |
| 27. #15667929 | C22 | semidirect |
| 29. C2×#41×C89 | C22 | semidirect |
| 30. C4⋊Q8×C89 | C22 | semidirect |
| 31. #127×C89 | C22 | semidirect |
| 32. #124×C89 | C22 | semidirect |
| 33. #124×C89 | C22 | semidirect |
| 36. C2×C42×C89 | C22 | semidirect |
| 43. #13083574 | D4 | semidirect |
| 48. C2×Dic178 | D4 | semidirect |
| 51. C2×D356 | D4 | semidirect |
| 151. C89 | #3018 | semidirect |
| 154. #532 | D89 | semidirect |
| 170. C2×#41 | C2×D89 | semidirect |
| 177. C4⋊Q8 | C2×D89 | semidirect |
| 178. #127 | C2×D89 | semidirect |
| 179. #124 | C2×D89 | semidirect |
| 180. #124 | C2×D89 | semidirect |
| 183. C2×C42 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152434 | 2 |
| #19152396 | 2 |
| #19151780 | 2 |
| #19151775 | 2 |
| #19151770 | 2 |
| #19151765 | 2 |
| C2×#15667940 | 2 |
| #19151582 | 2 |
| #532×C89 | 2 |
| #3018 | 89 |