Finite Group Databasebeta

← Group #459293

Character table — Group #459293

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222888888888888888888888888161616161616161616161616161616161616
order12222222222244444444222244444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111-1-1-1-11-11-1-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-111111111-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-11111111111111-11-1-1-1-1-1-1-111-1-1-1-111
χ1011111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111
χ1311111111111111111111-1-1-1-1-1-1-1-11111111111111111-11-11-1-1-1-1-1-1-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ1722222222-2-2-2-22-2222-2-2-20000000022-2-20000000022-2-2020-200000000000000
χ1822222222-2-2-2-22-2222-2-2-20000000022-2-200000000-2-2220-20200000000000000
χ1922222222-2-2-2-22-2222-2-2-200000000-2-2220000000022-2-20-20200000000000000
χ2022222222-2-2-2-22-2222-2-2-200000000-2-22200000000-2-222020-200000000000000
χ2122222222-2-2-2-2-22-2-2-2222000022-2-20000000022-2-2000020-2000000000000000
χ2222222222-2-2-2-2-22-2-2-2222000022-2-200000000-2-2220000-202000000000000000
χ2322222222-2-2-2-2-22-2-2-22220000-2-2220000000022-2-20000-202000000000000000
χ2422222222-2-2-2-2-22-2-2-22220000-2-22200000000-2-222000020-2000000000000000
χ25222-2-2-22-222-2-2-2-222-222-222-2-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000
χ26222-2-2-22-222-2-2-2-222-222-222-2-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000
χ27222-2-2-22-222-2-2-2-222-222-2-2-2222i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ28222-2-2-22-222-2-2-2-222-222-2-2-222−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ29222-2-2-22-2-2-2222-2-2-2222-200002i−2i−2i2i00000000000000000000002i−2i0000002-200
χ30222-2-2-22-2-2-2222-2-2-2222-200002i−2i−2i2i0000000000000000000000−2i2i000000-2200
χ31222-2-2-22-2-2-2222-2-2-2222-20000−2i2i2i−2i00000000000000000000002i−2i000000-2200
χ32222-2-2-22-2-2-2222-2-2-2222-20000−2i2i2i−2i0000000000000000000000−2i2i0000002-200
χ33222-2-2-22-2-2-222-2222-2-2-22000000002i−2i−2i2i000000000000000000002i−2i0000002-2
χ34222-2-2-22-2-2-222-2222-2-2-22000000002i−2i−2i2i00000000000000000000−2i2i000000-22
χ35222-2-2-22-2-2-222-2222-2-2-2200000000−2i2i2i−2i000000000000000000002i−2i000000-22
χ36222-2-2-22-2-2-222-2222-2-2-2200000000−2i2i2i−2i00000000000000000000−2i2i0000002-2
χ372-2-22-2-2222-2-22-2-22-222-222-22-20000000022-2-20000000000002-2000000000000
χ382-2-22-2-2222-2-22-2-22-222-222-22-200000000-2-222000000000000-22000000000000
χ392-2-22-2-2222-2-22-2-22-222-22-22-220000000022-2-2000000000000-22000000000000
χ402-2-22-2-2222-2-22-2-22-222-22-22-2200000000-2-2220000000000002-2000000000000
χ412-2-2-2222-22-22-2222-2-22-2-22-2-220000000000000000000000000000002i−2i2i−2i0000
χ422-2-2-2222-22-22-2222-2-22-2-22-2-22000000000000000000000000000000−2i2i−2i2i0000
χ432-2-2-2222-22-22-2222-2-22-2-2-222-20000000000000000000000000000002i−2i−2i2i0000
χ442-2-2-2222-22-22-2222-2-22-2-2-222-2000000000000000000000000000000−2i2i2i−2i0000
χ45444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000
χ46444-4-4-44-444-4-444-4-44-4-44000000000000000000000000000000000000000000
χ4744-4-44-4-440000000000000000000000002-22-222−220022−2200000000000000000000
χ4844-4-44-4-440000000000000000000000002-22-2−222200−222200000000000000000000
χ4944-4-44-4-44000000000000000000000000-22-2222−2200−222200000000000000000000
χ5044-4-44-4-44000000000000000000000000-22-22−22220022−2200000000000000000000
χ514-44-4-44-440000000000000000000000002-2-220022−220022−22000000000000000000
χ524-44-4-44-440000000000000000000000002-2-2200−222200−2222000000000000000000
χ534-44-4-44-44000000000000000000000000-222-20022−2200−2222000000000000000000
χ544-44-4-44-44000000000000000000000000-222-200−22220022−22000000000000000000
χ554-4-44-4-4444-4-4444-44-4-44-4000000000000000000000000000000000000000000
χ564-4-44-4-444-444-44-4-44-44-44000000000000000000000000000000000000000000
χ574-4-44-4-444-444-4-444-44-44-4000000000000000000000000000000000000000000
χ584-4-4-4444-44-44-4-4-4-444-444000000000000000000000000000000000000000000
χ594-4-4-4444-4-44-444-44-4-4-444000000000000000000000000000000000000000000
χ604-4-4-4444-4-44-44-44-4444-4-4000000000000000000000000000000000000000000
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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