Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 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. #19152248 | C2 | semidirect |
| 2. #19152002 | C2 | semidirect |
| 3. #19151910 | C2 | semidirect |
| 4. #19151909 | C2 | semidirect |
| 5. #19151876 | C2 | semidirect |
| 6. #19151831 | C2 | semidirect |
| 7. D8×Dic89 | C2 | semidirect |
| 8. C8×C22⋊D89 | C2 | semidirect |
| 9. C2×#15667946 | C2 | semidirect |
| 10. #107×D89 | C2 | semidirect |
| 11. #466×C89 | C2 | semidirect |
| 82. C22⋊D89 | D8 | semidirect |
| 95. C8×C89 | #41 | semidirect |
| 124. C89 | #3334 | semidirect |
| 131. #466 | D89 | semidirect |
| 221. C8 | #13083573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152248 | 2 |
| #19152002 | 2 |
| #19151910 | 2 |
| #19151909 | 2 |
| #19151876 | 2 |
| #19151831 | 2 |
| D8×Dic89 | 2 |
| C8×C22⋊D89 | 2 |
| C2×#15667946 | 2 |
| #107×D89 | 2 |
| #466×C89 | 2 |
| #3334 | 89 |