Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
390 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152152 | C2 | semidirect |
| 3. #19151991 | C2 | semidirect |
| 4. #19151959 | C2 | semidirect |
| 5. #19151805 | C2 | semidirect |
| 6. #19151799 | C2 | semidirect |
| 7. #19151798 | C2 | semidirect |
| 8. #19151763 | C2 | semidirect |
| 9. #19151759 | C2 | semidirect |
| 10. #19151654 | C2 | semidirect |
| 11. #462×C89 | C2 | semidirect |
| 141. C89 | #3216 | semidirect |
| 147. #462 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152152 | 2 |
| #19152149 | 2 |
| #19151991 | 2 |
| #19151959 | 2 |
| #19151805 | 2 |
| #19151799 | 2 |
| #19151798 | 2 |
| #19151763 | 2 |
| #19151759 | 2 |
| #19151654 | 2 |
| #462×C89 | 2 |
| #3216 | 89 |