Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
306 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 12. C5×#368 | C4 | semidirect |
| 14. #64726 | C4 | semidirect |
| 69. #368 | Dic5 | semidirect |
| 157. C5 | #12676 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C5×#368 | 2 |
| C2×#64726 | 2 |
| C2×#64722 | 2 |
| Dic5×#108 | 2 |
| #10598219 | 2 |
| #12676 | 5 |