Finite Group DatabasebetaFinite Group Databasebeta| order | 1280 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#10600682 |
| Sylow | C5 ⋊ C2×#1772 |
1102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 320 |
272 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1280, 167575);