Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
158 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 82 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 |
|---|---|---|
| 22. #14556641 | Q8 | semidirect |
| 83. C73 | #13660 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22625089 | 2 |
| C4⋊#14556641 | 2 |
| #22625039 | 2 |
| #22625038 | 2 |
| #22625036 | 2 |
| #22611833 | 2 |
| #13660 | 73 |