Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 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 |
|---|---|---|
| 1. #19152151 | C2 | semidirect |
| 3. #19151965 | C2 | semidirect |
| 4. #19151961 | C2 | semidirect |
| 5. #19151959 | C2 | semidirect |
| 6. #19151956 | C2 | semidirect |
| 7. #19151595 | C2 | semidirect |
| 8. #19151594 | C2 | semidirect |
| 9. #19151592 | C2 | semidirect |
| 10. C2×#15667922 | C2 | semidirect |
| 11. #416×C89 | C2 | semidirect |
| 126. C89 | #3135 | semidirect |
| 136. #416 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152151 | 2 |
| #19152144 | 2 |
| #19151965 | 2 |
| #19151961 | 2 |
| #19151959 | 2 |
| #19151956 | 2 |
| #19151595 | 2 |
| #19151594 | 2 |
| #19151592 | 2 |
| C2×#15667922 | 2 |
| #416×C89 | 2 |
| #3135 | 89 |