Finite Group Databasebeta

← Group #266253

Character table — Group #266253

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444442244444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ41111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1
χ5111111111111111111111-1-1-1-1-1-1111-111-1-1-1-1-1-11111-1-1-1-111-111-1-11-1-111-1-111-1-1
χ6111111111111111111111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-111-1-111
χ7111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-111-111-1-11111-1-1
χ8111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-111-1-1-1-111
χ911111111111111111-1-1-1-11111111-1-1111-1-1-1-11111111111-1-11-1-1-1-11-1-11111-1-1-1-1
χ1011111111111111111-1-1-1-11111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-11111
χ1111111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-11111111111-11111-111-1-1-1-1-1-1-1-1
χ1211111111111111111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-111111111
χ1311111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-11111-1-1-111111-1-1-1-11111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1-1-1-111-1-111
χ1611111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-11111111-1-1-1-1-11111-1-111-1-1
χ1722222222222-2-2-2-22-2000022-2-2-2-2-2002220000-2-2000000000020000-20000000000
χ1822222222222-2-2-2-22-2000022-2-2-2-2-2002-2-20000220000000000-2000020000000000
χ1922222222222-2-2-2-22-20000-2-22222-200-2220000220000000000-20000-20000000000
χ2022222222222-2-2-2-22-20000-2-22222-200-2-2-20000-2-200000000002000020000000000
χ2122222222-2-2-22222-2-2222222-2-222-2-2-2-20022-2-20000000000000000000000000000
χ2222222222-2-2-22222-2-22222-2-222-2-2-2-2-2200-2-2220000000000000000000000000000
χ2322222222-2-2-22222-2-2-2-2-2-222-2-222-222-200-2-2220000000000000000000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2-222-2-2-22220022-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2200002222-2-2200-200000000000000002-20002-200000000000
χ2622222222-2-2-2-2-2-2-2-2200002222-2-2200-20000000000000000-22000-2200000000000
χ2722222222-2-2-2-2-2-2-2-220000-2-2-2-222200200000000000000002-2000-2200000000000
χ2822222222-2-2-2-2-2-2-2-220000-2-2-2-22220020000000000000000-220002-200000000000
χ292222-2-2-2-222-22-22-2-2222-2-2000000-22-2000000000000000000002-2000002-2000000
χ302222-2-2-2-222-22-22-2-2222-2-2000000-22-200000000000000000000-2200000-22000000
χ312222-2-2-2-222-22-22-2-22-2-222000000-2-22000000000000000000002-200000-22000000
χ322222-2-2-2-222-22-22-2-22-2-222000000-2-2200000000000000000000-22000002-2000000
χ332222-2-2-2-2-2-222-22-22-222-2-20000002-2200000000000000000000000002i−2i002i−2i0000
χ342222-2-2-2-2-2-222-22-22-222-2-20000002-220000000000000000000000000−2i2i00−2i2i0000
χ352222-2-2-2-2-2-222-22-22-2-2-22200000022-200000000000000000000000002i−2i00−2i2i0000
χ362222-2-2-2-2-2-222-22-22-2-2-22200000022-20000000000000000000000000−2i2i002i−2i0000
χ372-2-222-2-2200022-2-2002i−2i2i−2i2-2002-20000002i−2i0000i2i2−i2−i2i2i2−i2−i2000000000000002−22−2
χ382-2-222-2-2200022-2-2002i−2i2i−2i2-2002-20000002i−2i0000−i2−i2i2i2−i2−i2i2i200000000000000−22−22
χ392-2-222-2-2200022-2-2002i−2i2i−2i-2200-22000000−2i2i0000i2i2−i2−i2−i2−i2i2i2000000000000002−2−22
χ402-2-222-2-2200022-2-2002i−2i2i−2i-2200-22000000−2i2i0000−i2−i2i2i2i2i2−i2−i200000000000000−222−2
χ412-2-222-2-2200022-2-200−2i2i−2i2i2-2002-2000000−2i2i0000i2i2−i2−i2i2i2−i2−i200000000000000−22−22
χ422-2-222-2-2200022-2-200−2i2i−2i2i2-2002-2000000−2i2i0000−i2−i2i2i2−i2−i2i2i2000000000000002−22−2
χ432-2-222-2-2200022-2-200−2i2i−2i2i-2200-220000002i−2i0000i2i2−i2−i2−i2−i2i2i200000000000000−222−2
χ442-2-222-2-2200022-2-200−2i2i−2i2i-2200-220000002i−2i0000−i2−i2i2i2i2i2−i2−i2000000000000002−2−22
χ454444-4-4-4-444-4-44-44-4-4000000000040000000000000000000000000000000000000
χ464444-4-4-4-4-4-44-44-44440000000000-40000000000000000000000000000000000000
χ4744-4-4-44-440000000000000004i−4i000000000000002i−2i2i−2i2-22-2000000000000000000
χ4844-4-4-44-440000000000000004i−4i00000000000000−2i2i−2i2i-22-22000000000000000000
χ4944-4-4-44-44000000000000000−4i4i000000000000002i−2i2i−2i-22-22000000000000000000
χ5044-4-4-44-44000000000000000−4i4i00000000000000−2i2i−2i2i2-22-2000000000000000000
χ514-44-444-4-44-440000-40000000000000004-400000000000000000000000000000000
χ524-44-444-4-44-440000-4000000000000000-4400000000000000000000000000000000
χ534-44-444-4-4-44-4000040000000000000000000004i−4i00000000000000000000000000
χ544-44-444-4-4-44-400004000000000000000000000−4i4i00000000000000000000000000
χ554-44-4-4-4444-4-4000040000000000000000000000022−22−22220000000000000000000000
χ564-44-4-4-4444-4-40000400000000000000000000000−222222−220000000000000000000000
χ574-44-4-4-444-4440000-40000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ584-44-4-4-444-4440000-4000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ594-4-444-4-44000-4-4440000004-400-4400000000000000000000000000000000000000
χ604-4-444-4-44000-4-444000000-44004-400000000000000000000000000000000000000
χ614-4-44-444-40004-4-44004i−4i−4i4i00000000000000000000000000000000000000000000
χ624-4-44-444-40004-4-4400−4i4i4i−4i00000000000000000000000000000000000000000000
χ634-4-44-444-4000-444-4000000000000000000004i−4i0000000000000000000000000000
χ644-4-44-444-4000-444-400000000000000000000−4i4i0000000000000000000000000000
χ6588-8-88-88-8000000000000000000000000000000000000000000000000000000000

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