Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
340 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 95 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. #17988369 | C4 | semidirect |
| 9. #17988344 | C4 | semidirect |
| 11. C2×#107×C73 | C4 | semidirect |
| 12. C2×#106×C73 | C4 | semidirect |
| 148. C73 | #7254 | semidirect |
| 152. C2×#107 | Dic73 | semidirect |
| 153. C2×#106 | Dic73 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17988369 | 2 |
| C2×#17988344 | 2 |
| C73×#1809 | 2 |
| #7254 | 73 |