Finite Group DatabasebetaFinite Group DatabasebetaOrder 896.
208 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 162. C7 | #2064 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C7×#428 | 2 |
| C2×#6398 | 2 |
| C2×#6396 | 2 |
| #89776 | 2 |
| #89771 | 2 |
| C2×#6384 | 2 |
| #89325 | 2 |
| #2064 | 7 |