Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
384 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 5. #19151891 | C2 | semidirect |
| 6. #19151806 | C2 | semidirect |
| 8. Q16×Dic89 | C2 | semidirect |
| 9. #19151690 | C2 | semidirect |
| 98. C2×Dic89 | Q16 | semidirect |
| 128. C89 | #3104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152150 | 2 |
| C2×Q8×Dic89 | 2 |
| #19151934 | 2 |
| #19151931 | 2 |
| #19151891 | 2 |
| #19151806 | 2 |
| #19151754 | 2 |
| Q16×Dic89 | 2 |
| #19151690 | 2 |
| #19151648 | 2 |
| #451×C89 | 2 |
| #3104 | 89 |