Finite Group Databasebeta

← Group #460069

Character table — Group #460069

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444444444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-11111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ911111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-111
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111
χ1722222222-2-2-2-222-2-22-22-2000022-2-20000000022-2-2000000002-2000000000000
χ1822222222-2-2-2-222-2-22-22-2000022-2-200000000-2-22200000000-22000000000000
χ1922222222-2-2-2-222-2-22-22-20000-2-2220000000022-2-200000000-22000000000000
χ2022222222-2-2-2-222-2-22-22-20000-2-22200000000-2-222000000002-2000000000000
χ2122222222-2-2-2-2-2-222-22-2222-2-2000000000000000022-2-20000002-20000000000
χ2222222222-2-2-2-2-2-222-22-2222-2-20000000000000000-2-222000000-220000000000
χ2322222222-2-2-2-2-2-222-22-22-2-222000000000000000022-2-2000000-220000000000
χ2422222222-2-2-2-2-2-222-22-22-2-2220000000000000000-2-2220000002-20000000000
χ25222-2-2-2-2222-2-22-22-2-2-2222i−2i2i−2i2i−2i2i−2i22-2-2000000000000000000000000000000
χ26222-2-2-2-2222-2-22-22-2-2-2222i−2i2i−2i−2i2i−2i2i-2-222000000000000000000000000000000
χ27222-2-2-2-2222-2-22-22-2-2-222−2i2i−2i2i2i−2i2i−2i-2-222000000000000000000000000000000
χ28222-2-2-2-2222-2-22-22-2-2-222−2i2i−2i2i−2i2i−2i2i22-2-2000000000000000000000000000000
χ29222-2-2-2-22-2-2222-2-22-222-200002i−2i−2i2i00000000000000002-2000000002i−2i000000
χ30222-2-2-2-22-2-2222-2-22-222-200002i−2i−2i2i0000000000000000-2200000000−2i2i000000
χ31222-2-2-2-22-2-2222-2-22-222-20000−2i2i2i−2i00000000000000002-200000000−2i2i000000
χ32222-2-2-2-22-2-2222-2-22-222-20000−2i2i2i−2i0000000000000000-22000000002i−2i000000
χ33222-2-2-2-22-2-222-222-22-2-222i−2i−2i2i00000000000000000000000000002-2002i−2i0000
χ34222-2-2-2-22-2-222-222-22-2-222i−2i−2i2i0000000000000000000000000000-2200−2i2i0000
χ35222-2-2-2-22-2-222-222-22-2-22−2i2i2i−2i00000000000000000000000000002-200−2i2i0000
χ36222-2-2-2-22-2-222-222-22-2-22−2i2i2i−2i0000000000000000000000000000-22002i−2i0000
χ372-2222-2-2-22-22-22-2-2-222-22000000002i−2i2i−2i2i2i−2i−2i00000000002-200000000000000
χ382-2222-2-2-22-22-22-2-2-222-22000000002i−2i2i−2i−2i−2i2i2i0000000000-2200000000000000
χ392-2222-2-2-22-22-22-2-2-222-2200000000−2i2i−2i2i2i2i−2i−2i0000000000-2200000000000000
χ402-2222-2-2-22-22-22-2-2-222-2200000000−2i2i−2i2i−2i−2i2i2i00000000002-200000000000000
χ412-22-2-222-22-2-2222-22-2-2-22000000002i−2i−2i2i000000000000000000000000002i−2i2-2
χ422-22-2-222-22-2-2222-22-2-2-22000000002i−2i−2i2i00000000000000000000000000−2i2i-22
χ432-22-2-222-22-2-2222-22-2-2-2200000000−2i2i2i−2i000000000000000000000000002i−2i-22
χ442-22-2-222-22-2-2222-22-2-2-2200000000−2i2i2i−2i00000000000000000000000000−2i2i2-2
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ46444-4-4-4-4444-4-4-44-4444-4-4000000000000000000000000000000000000000000
χ4744-4-444-4-40000000000000000000000002i−2i2i−2i002i2−2i20022−22000000000000000000
χ4844-4-444-4-40000000000000000000000002i−2i2i−2i00−2i22i200−2222000000000000000000
χ4944-4-444-4-4000000000000000000000000−2i2i−2i2i002i2−2i200−2222000000000000000000
χ5044-4-444-4-4000000000000000000000000−2i2i−2i2i00−2i22i20022−22000000000000000000
χ514-4444-4-4-44-44-4-4444-4-44-4000000000000000000000000000000000000000000
χ524-4444-4-4-4-44-444-4444-4-4-4000000000000000000000000000000000000000000
χ534-4444-4-4-4-44-44-44-4-4-4444000000000000000000000000000000000000000000
χ544-44-4-444-44-4-44-4-44-4444-4000000000000000000000000000000000000000000
χ554-44-4-444-4-444-4444-4-44-4-4000000000000000000000000000000000000000000
χ564-44-4-444-4-444-4-4-4-444-444000000000000000000000000000000000000000000
χ574-4-4-44-4440000000000000000000000002-2-2222−220022−2200000000000000000000
χ584-4-4-44-4440000000000000000000000002-2-22−222200−222200000000000000000000
χ594-4-4-44-444000000000000000000000000-222-222−2200−222200000000000000000000
χ604-4-4-44-444000000000000000000000000-222-2−22220022−2200000000000000000000
χ6188-88-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-88-88000000000000000000000000000000000000000000000000000000

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