Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
410 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 410 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. #19152169 | C2 | semidirect |
| 3. #19151940 | C2 | semidirect |
| 4. #19151923 | C2 | semidirect |
| 5. #19151844 | C2 | semidirect |
| 6. #19151827 | C2 | semidirect |
| 7. #19151751 | C2 | semidirect |
| 8. #19151739 | C2 | semidirect |
| 9. #408×C89 | C2 | semidirect |
| 10. C22×Dic178 | C22 | semidirect |
| 21. #15667991 | C22 | semidirect |
| 27. #15667971 | C22 | semidirect |
| 28. #15667946 | C22 | semidirect |
| 29. #15667944 | C22 | semidirect |
| 30. #15667937 | C22 | semidirect |
| 31. #15667937 | C22 | semidirect |
| 35. C2×M16×C89 | C22 | semidirect |
| 36. C22×C8×C89 | C22 | semidirect |
| 38. C22⋊C8×C89 | C22 | semidirect |
| 138. C89 | #3200 | semidirect |
| 147. #408 | D89 | semidirect |
| 153. C2×M16 | C2×D89 | semidirect |
| 154. C22×C8 | C2×D89 | semidirect |
| 176. C22⋊C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152169 | 2 |
| #19152162 | 2 |
| #19151940 | 2 |
| #19151923 | 2 |
| #19151844 | 2 |
| #19151827 | 2 |
| #19151751 | 2 |
| #19151739 | 2 |
| #408×C89 | 2 |
| #3200 | 89 |