Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
632 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 7. #17989465 | C4 | semidirect |
| 9. #17989431 | C4 | semidirect |
| 10. C22×C4⋊Dic73 | C4 | semidirect |
| 14. C2×#95×C73 | C4 | semidirect |
| 267. C73 | #7250 | semidirect |
| 274. C2×#95 | #64408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989465 | 2 |
| C2×#17989431 | 2 |
| #22608177 | 2 |
| #7250 | 73 |