Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
144 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19152014 | C2 | semidirect |
| 3. #19151418 | C2 | semidirect |
| 4. #19151383 | C2 | semidirect |
| 5. #19151382 | C2 | semidirect |
| 6. #19151373 | C2 | semidirect |
| 7. #504×C89 | C2 | semidirect |
| 72. C89 | #2171 | semidirect |
| 74. #504 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152014 | 2 |
| #19151713 | 2 |
| #19151418 | 2 |
| #19151383 | 2 |
| #19151382 | 2 |
| #19151373 | 2 |
| #504×C89 | 2 |
| #2171 | 89 |