Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
398 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152149 | C2 | semidirect |
| 2. #19152130 | C2 | semidirect |
| 3. #19151897 | C2 | semidirect |
| 4. #19151890 | C2 | semidirect |
| 5. #19151833 | C2 | semidirect |
| 6. #19151828 | C2 | semidirect |
| 7. #19151812 | C2 | semidirect |
| 8. #19151799 | C2 | semidirect |
| 9. #19151793 | C2 | semidirect |
| 10. C4⋊C8×D89 | C2 | semidirect |
| 11. #476×C89 | C2 | semidirect |
| 142. C89 | #3247 | semidirect |
| 147. #476 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152149 | 2 |
| #19152130 | 2 |
| #19151897 | 2 |
| #19151890 | 2 |
| #19151833 | 2 |
| #19151828 | 2 |
| #19151812 | 2 |
| #19151799 | 2 |
| #19151793 | 2 |
| C4⋊C8×D89 | 2 |
| #476×C89 | 2 |
| #3247 | 89 |