Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 2. C2×#15668042 | C2 | semidirect |
| 3. C22×Dic356 | C2 | semidirect |
| 4. #19152174 | C2 | semidirect |
| 5. #19151761 | C2 | semidirect |
| 6. #19151755 | C2 | semidirect |
| 7. #19151606 | C2 | semidirect |
| 8. #19151564 | C2 | semidirect |
| 9. #416×C89 | C2 | semidirect |
| 141. C89 | #3011 | semidirect |
| 149. #416 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668059 | 2 |
| C2×#15668042 | 2 |
| C22×Dic356 | 2 |
| #19152174 | 2 |
| #19151761 | 2 |
| #19151755 | 2 |
| #19151606 | 2 |
| #19151564 | 2 |
| #416×C89 | 2 |
| #3011 | 89 |