Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
370 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152130 | C2 | semidirect |
| 2. #19151998 | C2 | semidirect |
| 3. #19151981 | C2 | semidirect |
| 4. #19151951 | C2 | semidirect |
| 5. #19151857 | C2 | semidirect |
| 7. #19151843 | C2 | semidirect |
| 8. #19151706 | C2 | semidirect |
| 9. #19151698 | C2 | semidirect |
| 10. #19151550 | C2 | semidirect |
| 11. #442×C89 | C2 | semidirect |
| 110. C89 | #3183 | semidirect |
| 118. #442 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152130 | 2 |
| #19151998 | 2 |
| #19151981 | 2 |
| #19151951 | 2 |
| #19151857 | 2 |
| #19151848 | 2 |
| #19151843 | 2 |
| #19151706 | 2 |
| #19151698 | 2 |
| #19151550 | 2 |
| #442×C89 | 2 |
| #3183 | 89 |