Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
330 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 330 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 |
|---|---|---|
| 3. #11727193 | C2 | semidirect |
| 4. #11725520 | C2 | semidirect |
| 5. #11725420 | C2 | semidirect |
| 212. C7 | #10627 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C7×#1963 | 2 |
| #11729558 | 2 |
| #11727193 | 2 |
| #11725520 | 2 |
| #11725420 | 2 |
| #10627 | 7 |