Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
374 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 3. #19151938 | C2 | semidirect |
| 4. #19151880 | C2 | semidirect |
| 5. #19151855 | C2 | semidirect |
| 6. #19151805 | C2 | semidirect |
| 7. #19151755 | C2 | semidirect |
| 8. C4×Dic356 | C2 | semidirect |
| 10. #19151605 | C2 | semidirect |
| 11. #487×C89 | C2 | semidirect |
| 122. C89 | #3328 | semidirect |
| 125. #487 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152322 | 2 |
| #19152263 | 2 |
| #19151938 | 2 |
| #19151880 | 2 |
| #19151855 | 2 |
| #19151805 | 2 |
| #19151755 | 2 |
| C4×Dic356 | 2 |
| #19151677 | 2 |
| #19151605 | 2 |
| #487×C89 | 2 |
| #3328 | 89 |