Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
802 conjugacy classes of subgroups.
The subgroup lattice has 336 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 5. #17989603 | C4 | semidirect |
| 26. C2×C4⋊Dic73 | C8 | semidirect |
| 40. C2×C4⋊C4×C73 | C8 | semidirect |
| 171. C73 | #7908 | semidirect |
| 195. C2×C4⋊C4 | #10596833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#17989603 | 2 |
| #22624769 | 2 |
| C2×C4⋊C4×Dic73 | 2 |
| #7908 | 73 |