Finite Group DatabasebetaFinite Group DatabasebetaOrder 1792.
676 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 2. #11731788 | C2 | semidirect |
| 4. C2×#89251 | C2 | semidirect |
| 5. #11725440 | C2 | semidirect |
| 76. C2×Dic14 | SD16 | semidirect |
| 279. C7 | #10230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#89847 | 2 |
| #11731788 | 2 |
| C7×#1957 | 2 |
| C2×#89251 | 2 |
| #11725440 | 2 |
| #10230 | 7 |