Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
202 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. Dic5×Q32 | C2 | semidirect |
| 4. C5×#1416 | C2 | semidirect |
| 6. Dic5×C32 | C2 | semidirect |
| 7. #10598067 | C2 | semidirect |
| 15. #64741 | C4 | semidirect |
| 26. C5×Q32 | C2×C4 | semidirect |
| 37. #3926 | C2×C4 | semidirect |
| 42. #1416 | D5 | semidirect |
| 95. Q32 | C4×D5 | semidirect |
| 117. Dic5 | SD64 | semidirect |
| 155. C5 | C4×SD64 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Dic5×Q32 | 2 |
| C2×#64741 | 2 |
| #10600110 | 2 |
| C5×#1416 | 2 |
| #10598087 | 2 |
| Dic5×C32 | 2 |
| #10598067 | 2 |
| C4×SD64 | 5 |