Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
170 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 43 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. #19152036 | C2 | semidirect |
| 2. #19152034 | C2 | semidirect |
| 3. #19151973 | C2 | semidirect |
| 4. #19151714 | C2 | semidirect |
| 5. #19151418 | C2 | semidirect |
| 6. #19151410 | C2 | semidirect |
| 7. #361×C89 | C2 | semidirect |
| 26. Dic356 | D4 | semidirect |
| 30. D712 | D4 | semidirect |
| 78. C89 | #2213 | semidirect |
| 85. #361 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152036 | 2 |
| #19152034 | 2 |
| #19151973 | 2 |
| #19151714 | 2 |
| #19151418 | 2 |
| #19151410 | 2 |
| #361×C89 | 2 |
| #2213 | 89 |