Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
390 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 123 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×Q8×Dic89 | C2 | semidirect |
| 3. #19151926 | C2 | semidirect |
| 5. #19151907 | C2 | semidirect |
| 6. #19151822 | C2 | semidirect |
| 8. Q16×Dic89 | C2 | semidirect |
| 9. #19151683 | C2 | semidirect |
| 10. #19151648 | C2 | semidirect |
| 11. #451×C89 | C2 | semidirect |
| 132. C89 | #3108 | semidirect |
| 139. #451 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152134 | 2 |
| C2×Q8×Dic89 | 2 |
| #19151926 | 2 |
| #19151912 | 2 |
| #19151907 | 2 |
| #19151822 | 2 |
| #19151737 | 2 |
| Q16×Dic89 | 2 |
| #19151683 | 2 |
| #19151648 | 2 |
| #451×C89 | 2 |
| #3108 | 89 |