Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
436 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 436 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 |
|---|---|---|
| 8. C22×Dic28 | C4 | semidirect |
| 15. #89892 | C4 | semidirect |
| 18. #89878 | C4 | semidirect |
| 299. C7 | #13230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11741252 | 2 |
| C7×#1812 | 2 |
| #11729765 | 2 |
| #11727813 | 2 |
| #11727812 | 2 |
| #13230 | 7 |