Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19152226 | C2 | semidirect |
| 3. #19151967 | C2 | semidirect |
| 4. #19151958 | C2 | semidirect |
| 5. #19151953 | C2 | semidirect |
| 6. #19151949 | C2 | semidirect |
| 7. #19151608 | C2 | semidirect |
| 10. C2×#15667937 | C2 | semidirect |
| 11. #405×C89 | C2 | semidirect |
| 128. C89 | #3137 | semidirect |
| 139. #405 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152226 | 2 |
| #19152174 | 2 |
| #19151967 | 2 |
| #19151958 | 2 |
| #19151953 | 2 |
| #19151949 | 2 |
| #19151608 | 2 |
| #19151600 | 2 |
| #19151595 | 2 |
| C2×#15667937 | 2 |
| #405×C89 | 2 |
| #3137 | 89 |