Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152203 | C2 | semidirect |
| 2. #19152167 | C2 | semidirect |
| 3. #19151987 | C2 | semidirect |
| 4. #19151975 | C2 | semidirect |
| 5. #19151963 | C2 | semidirect |
| 6. #19151953 | C2 | semidirect |
| 7. #19151814 | C2 | semidirect |
| 8. #19151794 | C2 | semidirect |
| 9. #19151745 | C2 | semidirect |
| 10. #19151734 | C2 | semidirect |
| 11. #433×C89 | C2 | semidirect |
| 14. C2×#13083563 | C22 | semidirect |
| 17. C2×D712 | C22 | semidirect |
| 20. #15668009 | C22 | semidirect |
| 21. #15668004 | C22 | semidirect |
| 29. C4×D356 | C22 | semidirect |
| 30. #15667937 | C22 | semidirect |
| 33. #15667934 | C22 | semidirect |
| 35. C4⋊C8×C89 | C22 | semidirect |
| 37. #97×C89 | C22 | semidirect |
| 38. C4×C8×C89 | C22 | semidirect |
| 129. C89 | #3220 | semidirect |
| 140. #433 | D89 | semidirect |
| 160. C4⋊C8 | C2×D89 | semidirect |
| 166. #97 | C2×D89 | semidirect |
| 167. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152203 | 2 |
| #19152167 | 2 |
| #19151987 | 2 |
| #19151975 | 2 |
| #19151963 | 2 |
| #19151953 | 2 |
| #19151814 | 2 |
| #19151794 | 2 |
| #19151745 | 2 |
| #19151734 | 2 |
| #433×C89 | 2 |
| #3220 | 89 |