Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
412 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 2. #22626123 | C2 | semidirect |
| 3. #22625464 | C2 | semidirect |
| 5. #22624836 | C2 | semidirect |
| 6. #22624799 | C2 | semidirect |
| 211. C73 | #9337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626884 | 2 |
| #22626123 | 2 |
| #22625464 | 2 |
| #22625397 | 2 |
| #22624836 | 2 |
| #22624799 | 2 |
| #22620956 | 2 |
| #9337 | 73 |