Finite Group DatabasebetaFinite Group DatabasebetaOrder 1280.
182 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 3. C5×#1425 | C2 | semidirect |
| 4. #10598084 | C2 | semidirect |
| 5. #10598072 | C2 | semidirect |
| 33. #1425 | D5 | direct (N × H) |
| 110. D5 | #1425 | direct (N × H) |
| 124. C5 | C2×#1425 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D5×C32 | 2 |
| D5×#368 | 2 |
| C5×#1425 | 2 |
| #10598084 | 2 |
| #10598072 | 2 |
| C2×#1425 | 5 |