Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
364 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
| 3. #19152007 | C2 | semidirect |
| 4. #19151992 | C2 | semidirect |
| 5. #19151967 | C2 | semidirect |
| 6. #19151958 | C2 | semidirect |
| 7. #19151856 | C2 | semidirect |
| 9. C4×Dic356 | C2 | semidirect |
| 10. C4×#13083563 | C2 | semidirect |
| 11. C4×M16×C89 | C2 | semidirect |
| 130. C89 | #3172 | semidirect |
| 141. C4×M16 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19152132 | 2 |
| #19152007 | 2 |
| #19151992 | 2 |
| #19151967 | 2 |
| #19151958 | 2 |
| #19151856 | 2 |
| #19151844 | 2 |
| C4×Dic356 | 2 |
| C4×#13083563 | 2 |
| C4×M16×C89 | 2 |
| #3172 | 89 |