Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
2878 conjugacy classes of subgroups; only the 491 normal subgroups are shown.
This group has 2878 conjugacy classes of subgroups — too many to draw. Only its 491 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 |
|---|---|---|
| 3. #11729299 | C2 | semidirect |
| 7. C22×C4×Dic7 | C22 | semidirect |
| 8. C7×#379 | C4 | semidirect |
| 9. #90019 | C4 | semidirect |
| 10. C2×C7⋊#95 | C22 | semidirect |
| 33. C24×C7 | C42 | semidirect |
| 51. #379 | Dic7 | semidirect |
| 103. C24 | C4×Dic7 | semidirect |
| 140. C7 | #13827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C7×#379 | 2 |
| C2×#90019 | 2 |
| #11729299 | 2 |
| #13827 | 7 |