Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19151931 | C2 | semidirect |
| 5. #19151903 | C2 | semidirect |
| 6. #19151822 | C2 | semidirect |
| 8. #19151705 | C2 | semidirect |
| 9. #19151701 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 11. #451×C89 | C2 | semidirect |
| 132. C89 | #3117 | 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 |
| #19151931 | 2 |
| #19151917 | 2 |
| #19151903 | 2 |
| #19151822 | 2 |
| #19151737 | 2 |
| #19151705 | 2 |
| #19151701 | 2 |
| #19151652 | 2 |
| #451×C89 | 2 |
| #3117 | 89 |