Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
342 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 342 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 |
|---|---|---|
| 2. #19151999 | C2 | semidirect |
| 3. #19151939 | C2 | semidirect |
| 4. #19151930 | C2 | semidirect |
| 5. #19151908 | C2 | semidirect |
| 6. #19151840 | C2 | semidirect |
| 7. #19151839 | C2 | semidirect |
| 8. #19151692 | C2 | semidirect |
| 10. #107×D89 | C2 | semidirect |
| 11. #427×C89 | C2 | semidirect |
| 115. C89 | #3336 | semidirect |
| 125. #427 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152287 | 2 |
| #19151999 | 2 |
| #19151939 | 2 |
| #19151930 | 2 |
| #19151908 | 2 |
| #19151840 | 2 |
| #19151839 | 2 |
| #19151692 | 2 |
| C8×C22⋊D89 | 2 |
| #107×D89 | 2 |
| #427×C89 | 2 |
| #3336 | 89 |