Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
372 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 372 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. #19152334 | C2 | semidirect |
| 2. #19152318 | C2 | semidirect |
| 3. #19151981 | C2 | semidirect |
| 4. #19151970 | C2 | semidirect |
| 5. #19151819 | C2 | semidirect |
| 6. #19151811 | C2 | semidirect |
| 7. #19151809 | C2 | semidirect |
| 8. #19151722 | C2 | semidirect |
| 9. #19151689 | C2 | semidirect |
| 10. C4×#13083562 | C2 | semidirect |
| 126. C89 | #3394 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152334 | 2 |
| #19152318 | 2 |
| #19151981 | 2 |
| #19151970 | 2 |
| #19151819 | 2 |
| #19151811 | 2 |
| #19151809 | 2 |
| #19151722 | 2 |
| #19151689 | 2 |
| C4×#13083562 | 2 |
| #459×C89 | 2 |
| #3394 | 89 |