Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
470 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 60 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 |
|---|---|---|
| 1. C2×#17989497 | C2 | semidirect |
| 2. #22625464 | C2 | semidirect |
| 3. #22625056 | C2 | semidirect |
| 8. #17989497 | C22 | semidirect |
| 10. #17989447 | C22 | semidirect |
| 172. C73 | #13573 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989497 | 2 |
| #22625464 | 2 |
| #22625056 | 2 |
| C2×#17988770 | 2 |
| #13573 | 73 |