Finite Group DatabasebetaFinite Group DatabasebetaOrder 22784.
694 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 694 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 15. #391×C89 | C4 | semidirect |
| 16. #389×C89 | C4 | semidirect |
| 158. C89 | #9145 | semidirect |
| 163. #391 | Dic89 | semidirect |
| 164. #389 | Dic89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19151444 | 2 |
| #26020320 | 2 |
| C2×#19151335 | 2 |
| #26018130 | 2 |
| C89×#2855 | 2 |
| #9145 | 89 |