Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
414 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. C2×#15667970 | C2 | semidirect |
| 3. #19151942 | C2 | semidirect |
| 4. #19151941 | C2 | semidirect |
| 5. #19151925 | C2 | semidirect |
| 6. #19151924 | C2 | semidirect |
| 7. #19151641 | C2 | semidirect |
| 8. #19151600 | C2 | semidirect |
| 9. #19151597 | C2 | semidirect |
| 10. #19151561 | C2 | semidirect |
| 11. #428×C89 | C2 | semidirect |
| 30. #15667945 | C22 | semidirect |
| 31. #15667943 | C22 | semidirect |
| 32. #15667937 | C22 | semidirect |
| 33. #15667935 | C22 | semidirect |
| 34. #15667934 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 41. #107×C89 | C22 | semidirect |
| 42. #106×C89 | C22 | semidirect |
| 153. C89 | #3093 | semidirect |
| 161. #428 | D89 | semidirect |
| 187. #107 | C2×D89 | semidirect |
| 189. #106 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152110 | 2 |
| C2×#15667970 | 2 |
| #19151942 | 2 |
| #19151941 | 2 |
| #19151925 | 2 |
| #19151924 | 2 |
| #19151641 | 2 |
| #19151600 | 2 |
| #19151597 | 2 |
| #19151561 | 2 |
| #428×C89 | 2 |
| #3093 | 89 |