Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 92. Dic178 | Q16 | semidirect |
| 113. C89 | #3363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic178 | 2 |
| #19152323 | 2 |
| #19151948 | 2 |
| #19151947 | 2 |
| #19151894 | 2 |
| #19151891 | 2 |
| #19151806 | 2 |
| #19151722 | 2 |
| Q16×Dic89 | 2 |
| C4×#13083564 | 2 |
| #462×C89 | 2 |
| #3363 | 89 |