Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
482 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 10. #17988311 | C4 | semidirect |
| 14. #323×C73 | C4 | semidirect |
| 210. C73 | #7324 | semidirect |
| 221. #323 | Dic73 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22608258 | 2 |
| #22608180 | 2 |
| C73×#1462 | 2 |
| #7324 | 73 |