Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
954 conjugacy classes of subgroups; only the 220 normal subgroups are shown.
This group has 954 conjugacy classes of subgroups — too many to draw. Only its 220 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. #22625460 | C2 | semidirect |
| 3. #22625453 | C2 | semidirect |
| 12. #17989446 | C22 | semidirect |
| 163. C73 | #17755 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D73⋊#432 | 2 |
| #22625460 | 2 |
| #22625453 | 2 |
| C2×#17989143 | 2 |
| #17755 | 73 |