Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C210 |
| direct product | C2×C4⋊C4×D20 |
| Fitting | C2×C4×C5×C4⋊C4 ⋊ C2 |
| Sylow | C5 ⋊ C2×D4×C4⋊C4 |
4718 conjugacy classes of subgroups.
| transitive degree | μt(G) = 640 |
260 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 328856);