Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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. C2×#15668041 | C2 | semidirect |
| 3. #19152263 | C2 | semidirect |
| 4. #19151841 | C2 | semidirect |
| 5. #19151805 | C2 | semidirect |
| 6. #19151795 | C2 | semidirect |
| 7. #19151757 | C2 | semidirect |
| 8. #19151735 | C2 | semidirect |
| 9. C4×Dic356 | C2 | semidirect |
| 10. #19151677 | C2 | semidirect |
| 11. #492×C89 | C2 | semidirect |
| 55. Dic356 | D4 | semidirect |
| 123. C4×C89 | #137 | semidirect |
| 137. C89 | #3278 | semidirect |
| 141. #492 | D89 | semidirect |
| 265. C4 | #15668041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668041 | 2 |
| #19152268 | 2 |
| #19152263 | 2 |
| #19151841 | 2 |
| #19151805 | 2 |
| #19151795 | 2 |
| #19151757 | 2 |
| #19151735 | 2 |
| C4×Dic356 | 2 |
| #19151677 | 2 |
| #492×C89 | 2 |
| #3278 | 89 |