Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| isoclinism | isoclinic class of #64686 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C43 |
| direct product | C4×#64777 |
| Sylow | C5 ⋊ C4×H(3,ℤ/4) |
954 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
248 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 74733);