Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
380 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152331 | C2 | semidirect |
| 2. #19151986 | C2 | semidirect |
| 3. #19151982 | C2 | semidirect |
| 4. #19151819 | C2 | semidirect |
| 5. #19151813 | C2 | semidirect |
| 6. #19151792 | C2 | semidirect |
| 7. #19151728 | C2 | semidirect |
| 8. #19151697 | C2 | semidirect |
| 9. C4×D8×C89 | C2 | semidirect |
| 109. C89 | #3403 | semidirect |
| 118. C4×D8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152331 | 2 |
| #19151986 | 2 |
| #19151982 | 2 |
| #19151819 | 2 |
| #19151813 | 2 |
| #19151792 | 2 |
| #19151728 | 2 |
| #19151697 | 2 |
| C4×D8×C89 | 2 |
| #3403 | 89 |