Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
390 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 175 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 |
|---|---|---|
| 11. #17988339 | C4 | semidirect |
| 12. #17988337 | C4 | semidirect |
| 23. #14556502 | C8 | semidirect |
| 88. C73 | #8268 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14556502 | 2 |
| #22608677 | 2 |
| #22608215 | 2 |
| #22607764 | 2 |
| C73×#1276 | 2 |
| #8268 | 73 |