Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 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. C2×#15668031 | C2 | semidirect |
| 2. C22×Dic356 | C2 | semidirect |
| 3. #19152254 | C2 | semidirect |
| 4. #19151981 | C2 | semidirect |
| 5. #19151840 | C2 | semidirect |
| 6. #19151819 | C2 | semidirect |
| 7. #19151761 | C2 | semidirect |
| 8. #19151736 | C2 | semidirect |
| 9. #19151692 | C2 | semidirect |
| 10. C8×C22⋊D89 | C2 | semidirect |
| 11. #466×C89 | C2 | semidirect |
| 55. Dic356 | D4 | semidirect |
| 116. C22×C89 | #135 | semidirect |
| 137. C89 | #3285 | semidirect |
| 143. #466 | D89 | semidirect |
| 256. C22 | #15668031 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668031 | 2 |
| C22×Dic356 | 2 |
| #19152254 | 2 |
| #19151981 | 2 |
| #19151840 | 2 |
| #19151819 | 2 |
| #19151761 | 2 |
| #19151736 | 2 |
| #19151692 | 2 |
| C8×C22⋊D89 | 2 |
| #466×C89 | 2 |
| #3285 | 89 |