Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
350 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 350 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. #19152318 | C2 | semidirect |
| 2. #19152309 | C2 | semidirect |
| 3. #19151951 | C2 | semidirect |
| 4. #19151950 | C2 | semidirect |
| 5. #19151908 | C2 | semidirect |
| 7. #19151804 | C2 | semidirect |
| 8. #19151722 | C2 | semidirect |
| 9. #19151685 | C2 | semidirect |
| 11. #476×C89 | C2 | semidirect |
| 121. C89 | #3360 | semidirect |
| 127. #476 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152318 | 2 |
| #19152309 | 2 |
| #19151951 | 2 |
| #19151950 | 2 |
| #19151908 | 2 |
| #19151812 | 2 |
| #19151804 | 2 |
| #19151722 | 2 |
| #19151685 | 2 |
| C4×#13083559 | 2 |
| #476×C89 | 2 |
| #3360 | 89 |