Finite Group Databasebeta

← Group #7410

Character table — Group #7410

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25
size1122244888888161616161616161616161616
order12244242488884444448816161616
χ11111111111111111111111111
χ2111111111111111-1-1-1-111-1-1-1-1
χ31111111111111-1-11111-1-1-1-1-1-1
χ41111111111111-1-1-1-1-1-1-1-11111
χ51111111-1-111-1-111ii−i−i-1-1ii−i−i
χ61111111-1-111-1-111−i−iii-1-1−i−iii
χ71111111-1-111-1-1-1-1ii−i−i11−i−iii
χ81111111-1-111-1-1-1-1−i−iii11ii−i−i
χ9222222222-2-2-2-2000000000000
χ102222222-2-2-2-222000000000000
χ11222-2-22-200002i−2i001+i−1−i1−i−1+i000000
χ12222-2-22-200002i−2i00−1−i1+i−1+i1−i000000
χ13222-2-22-20000−2i2i001−i−1+i1+i−1−i000000
χ14222-2-22-20000−2i2i00−1+i1−i−1−i1+i000000
χ15222-2-2-222-20000000000002−22−2
χ16222-2-2-222-2000000000000−22−22
χ17222-2-2-22-22000000000000i2−i2−i2i2
χ18222-2-2-22-22000000000000−i2i2i2−i2
χ1944444-4-4000000000000000000
χ2044-44-4000000002i−2i0000000000
χ2144-44-400000000−2i2i0000000000
χ2244-4-44000000000000002i−2i0000
χ2344-4-4400000000000000−2i2i0000
χ248-800000002i2−2i200000000000000
χ258-80000000−2i22i200000000000000

Here i is the imaginary unit (i² = −1).