Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
408 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 408 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. #19152148 | C2 | semidirect |
| 2. #19152132 | C2 | semidirect |
| 3. #19152007 | C2 | semidirect |
| 4. #19151987 | C2 | semidirect |
| 5. #19151963 | C2 | semidirect |
| 6. #19151958 | C2 | semidirect |
| 7. #19151851 | C2 | semidirect |
| 8. #19151844 | C2 | semidirect |
| 9. C4×#13083563 | C2 | semidirect |
| 10. C4×D712 | C2 | semidirect |
| 11. C4×M16×C89 | C2 | semidirect |
| 110. C8×C89 | #41 | semidirect |
| 138. C89 | #3171 | semidirect |
| 149. C4×M16 | D89 | semidirect |
| 248. C8 | #13083574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152148 | 2 |
| #19152132 | 2 |
| #19152007 | 2 |
| #19151987 | 2 |
| #19151963 | 2 |
| #19151958 | 2 |
| #19151851 | 2 |
| #19151844 | 2 |
| C4×#13083563 | 2 |
| C4×D712 | 2 |
| C4×M16×C89 | 2 |
| #3171 | 89 |