Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
218 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 3. #22608749 | C2 | semidirect |
| 4. #22607996 | C2 | semidirect |
| 5. #22607902 | C2 | semidirect |
| 6. #22607851 | C2 | semidirect |
| 46. Dic292 | M16 | semidirect |
| 110. C73 | #12080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22611795 | 2 |
| #22608845 | 2 |
| #22608749 | 2 |
| #22607996 | 2 |
| #22607902 | 2 |
| #22607851 | 2 |
| C73×#1333 | 2 |
| #12080 | 73 |