Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
590 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 590 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 |
|---|---|---|
| 5. C2×#14556508 | C4 | semidirect |
| 12. C2×#100×C73 | C4 | semidirect |
| 172. C73 | #7311 | semidirect |
| 177. C2×#100 | Dic73 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22609852 | 2 |
| #22609846 | 2 |
| C73×#1783 | 2 |
| #7311 | 73 |