Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
366 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 366 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. #19152155 | C2 | semidirect |
| 2. #19152008 | C2 | semidirect |
| 3. #19151993 | C2 | semidirect |
| 4. #19151968 | C2 | semidirect |
| 5. #19151957 | C2 | semidirect |
| 6. #19151837 | C2 | semidirect |
| 8. #19151703 | C2 | semidirect |
| 9. #19151698 | C2 | semidirect |
| 10. C2×#15667923 | C2 | semidirect |
| 130. C89 | #3181 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19152008 | 2 |
| #19151993 | 2 |
| #19151968 | 2 |
| #19151957 | 2 |
| #19151837 | 2 |
| #19151825 | 2 |
| #19151703 | 2 |
| #19151698 | 2 |
| C2×#15667923 | 2 |
| #529×C89 | 2 |
| #3181 | 89 |