Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
406 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 76 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. #22625404 | C2 | semidirect |
| 4. #22625255 | C2 | semidirect |
| 5. #22624824 | C2 | semidirect |
| 6. #22624797 | C2 | semidirect |
| 196. C73 | #9314 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626618 | 2 |
| #22625404 | 2 |
| #22625263 | 2 |
| #22625255 | 2 |
| #22624824 | 2 |
| #22624797 | 2 |
| #22620090 | 2 |
| #9314 | 73 |