Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 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. C2×#15667956 | C2 | semidirect |
| 2. #19152016 | C2 | semidirect |
| 3. #19151874 | C2 | semidirect |
| 5. #19151427 | C2 | semidirect |
| 6. #19151415 | C2 | semidirect |
| 7. #361×C89 | C2 | semidirect |
| 72. C89 | #2223 | semidirect |
| 79. #361 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667956 | 2 |
| #19152016 | 2 |
| #19151874 | 2 |
| #19151865 | 2 |
| #19151427 | 2 |
| #19151415 | 2 |
| #361×C89 | 2 |
| #2223 | 89 |