Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
314 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 6. C22×#674 | C4 | semidirect |
| 13. C22⋊#674 | C4 | semidirect |
| 52. C22⋊Dic5 | C16 | semidirect |
| 208. C5 | #7199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊#674 | 2 |
| #10600740 | 2 |
| #7199 | 5 |