Finite Group Databasebeta

← Group #6431721

Character table — Group #6431721

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222222288888888888888888888888888881111222222222222228888888888888888888888888888
order12222222224444444422224444444444444444888888882222222222444444442222444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111-1-1-1-1111-1-1-1-111111-111-1-1-1-11-111-1-111-1-111-1-111-1-111111-1-1-1-1111-1-1-1-111111-111-1-1-1-11-111-1-111-1-111-1-111-1-1
χ1011111-1-1-1-1111-1-1-1-111111-111-1-1-1-11-1-1-111-1-111-1-111-1-11111111-1-1-1-1111-1-1-1-111111-111-1-1-1-11-1-1-111-1-111-1-111-1-111
χ1111111-1-1-1-1111-1-1-1-11111-11-1-111-1-1-1111-1-111-1-1-1-111-1-11111111-1-1-1-1111-1-1-1-11111-11-1-111-1-1-1111-1-111-1-1-1-111-1-111
χ1211111-1-1-1-1111-1-1-1-11111-11-1-111-1-1-11-1-111-1-11111-1-111-1-111111-1-1-1-1111-1-1-1-11111-11-1-111-1-1-11-1-111-1-11111-1-111-1-1
χ1311111-1-1-1-1111-1-1-1-111-1-11-1-1-111111-111-1-1-1-11111-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-11-1-1-111111-111-1-1-1-11111-1-1-1-111
χ1411111-1-1-1-1111-1-1-1-111-1-11-1-1-111111-1-1-11111-1-1-1-11111-1-111111-1-1-1-1111-1-1-1-111-1-11-1-1-111111-1-1-11111-1-1-1-11111-1-1
χ1511111-1-1-1-1111-1-1-1-111-1-1-1111-1-111-1111-1-1-1-111-1-11111-1-111111-1-1-1-1111-1-1-1-111-1-1-1111-1-111-1111-1-1-1-111-1-11111-1-1
χ1611111-1-1-1-1111-1-1-1-111-1-1-1111-1-111-11-1-11111-1-111-1-1-1-11111111-1-1-1-1111-1-1-1-111-1-1-1111-1-111-11-1-11111-1-111-1-1-1-111
χ172222222222-2-2-2-2-2-2-2-22-20000002-20000000000000000002222222222-2-2-2-2-2-2-2-22-20000002-2000000000000000000
χ182222222222-2-2-2-2-2-2-2-2-22000000-220000000000000000002222222222-2-2-2-2-2-2-2-2-22000000-22000000000000000000
χ1922222-2-2-2-22-2-22222-2-22-2000000-2200000000000000000022222-2-2-2-22-2-22222-2-22-2000000-22000000000000000000
χ2022222-2-2-2-22-2-22222-2-2-220000002-200000000000000000022222-2-2-2-22-2-22222-2-2-220000002-2000000000000000000
χ212222-222-2-2-22-222-2-22-200002-22-2000000000000000000002222-222-2-2-22-222-2-22-200002-22-200000000000000000000
χ222222-222-2-2-22-222-2-22-20000-22-22000000000000000000002222-222-2-2-22-222-2-22-20000-22-2200000000000000000000
χ232222-222-2-2-2-22-2-222-220022000000-2-200000000000000002222-222-2-2-2-22-2-222-220022000000-2-20000000000000000
χ242222-222-2-2-2-22-2-222-2200-2-20000002200000000000000002222-222-2-2-2-22-2-222-2200-2-2000000220000000000000000
χ252222-2-2-222-22-2-2-2222-200002-2-22000000000000000000002222-2-2-222-22-2-2-2222-200002-2-2200000000000000000000
χ262222-2-2-222-22-2-2-2222-20000-222-2000000000000000000002222-2-2-222-22-2-2-2222-20000-222-200000000000000000000
χ272222-2-2-222-2-2222-2-2-22002-2000000-2200000000000000002222-2-2-222-2-2222-2-2-22002-2000000-220000000000000000
χ282222-2-2-222-2-2222-2-2-2200-220000002-200000000000000002222-2-2-222-2-2222-2-2-2200-220000002-20000000000000000
χ292-2-2222-22-2-2222-22-2-2-20000000000000000000000002i−2i2i−2i2-2-2222-22-2-2222-22-2-2-20000000000000000000000002i−2i2i−2i
χ302-2-2222-22-2-2222-22-2-2-2000000000000000000000000−2i2i−2i2i2-2-2222-22-2-2222-22-2-2-2000000000000000000000000−2i2i−2i2i
χ312-2-2222-22-2-2-2-2-22-2222000000000000000000002-22-200002-2-2222-22-2-2-2-2-22-2222000000000000000000002-22-20000
χ322-2-2222-22-2-2-2-2-22-222200000000000000000000-22-2200002-2-2222-22-2-2-2-2-22-222200000000000000000000-22-220000
χ332-2-222-22-22-222-22-22-2-20000000000000000000000002i−2i−2i2i2-2-222-22-22-222-22-22-2-20000000000000000000000002i−2i−2i2i
χ342-2-222-22-22-222-22-22-2-2000000000000000000000000−2i2i2i−2i2-2-222-22-22-222-22-22-2-2000000000000000000000000−2i2i2i−2i
χ352-2-222-22-22-2-2-22-22-222000000000000000000002-2-2200002-2-222-22-22-2-2-22-22-222000000000000000000002-2-220000
χ362-2-222-22-22-2-2-22-22-22200000000000000000000-222-200002-2-222-22-22-2-2-22-22-22200000000000000000000-222-20000
χ372-2-22-22-2-2222-22-2-22-220000000000002-22-20000000000002-2-22-22-2-2222-22-2-22-220000000000002-22-2000000000000
χ382-2-22-22-2-2222-22-2-22-22000000000000-22-220000000000002-2-22-22-2-2222-22-2-22-22000000000000-22-22000000000000
χ392-2-22-22-2-222-22-222-22-200000000000000002-22-2000000002-2-22-22-2-222-22-222-22-200000000000000002-22-200000000
χ402-2-22-22-2-222-22-222-22-20000000000000000-22-22000000002-2-22-22-2-222-22-222-22-20000000000000000-22-2200000000
χ412-2-22-2-222-222-2-222-2-220000000000002-2-220000000000002-2-22-2-222-222-2-222-2-220000000000002-2-22000000000000
χ422-2-22-2-222-222-2-222-2-22000000000000-222-20000000000002-2-22-2-222-222-2-222-2-22000000000000-222-2000000000000
χ432-2-22-2-222-22-222-2-222-200000000000000002-2-22000000002-2-22-2-222-22-222-2-222-200000000000000002-2-2200000000
χ442-2-22-2-222-22-222-2-222-20000000000000000-222-2000000002-2-22-2-222-22-222-2-222-20000000000000000-222-200000000
χ4588-8-800000000000000000000000000000000000000000088-8-8000000000000000000000000000000000000000000
χ468-88-80000000000000000000000000000000000000000008-88-8000000000000000000000000000000000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ48111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ4911111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111
χ5011111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1
χ51111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11111
χ52111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-1
χ53111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ54111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5511111-1-1-1-1111-1-1-1-111111-111-1-1-1-11-111-1-111-1-111-1-111-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-11-1-11111-11-1-111-1-111-1-111-1-111
χ5611111-1-1-1-1111-1-1-1-111111-111-1-1-1-11-1-1-111-1-111-1-111-1-111-1-1-1-1-11111-1-1-11111-1-1-1-1-11-1-11111-1111-1-111-1-111-1-111-1-1
χ5711111-1-1-1-1111-1-1-1-11111-11-1-111-1-1-1111-1-111-1-1-1-111-1-111-1-1-1-1-11111-1-1-11111-1-1-1-11-111-1-1111-1-1-111-1-11111-1-111-1-1
χ5811111-1-1-1-1111-1-1-1-11111-11-1-111-1-1-11-1-111-1-11111-1-111-1-1-1-1-1-1-11111-1-1-11111-1-1-1-11-111-1-1111-111-1-111-1-1-1-111-1-111
χ5911111-1-1-1-1111-1-1-1-111-1-11-1-1-111111-111-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-1-11111-1-111-1111-1-1-1-1-11-1-11111-1-1-1-11111-1-1
χ6011111-1-1-1-1111-1-1-1-111-1-11-1-1-111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1-1-11111-1-111-1111-1-1-1-1-1111-1-1-1-11111-1-1-1-111
χ6111111-1-1-1-1111-1-1-1-111-1-1-1111-1-111-1111-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-1-11111-1-1111-1-1-111-1-11-1-1-11111-1-111-1-1-1-111
χ6211111-1-1-1-1111-1-1-1-111-1-1-1111-1-111-11-1-11111-1-111-1-1-1-111-1-1-1-1-11111-1-1-11111-1-1111-1-1-111-1-11-111-1-1-1-111-1-11111-1-1
χ632222222222-2-2-2-2-2-2-2-22-20000002-2000000000000000000-2-2-2-2-2-2-2-2-2-222222222-22000000-22000000000000000000
χ642222222222-2-2-2-2-2-2-2-2-22000000-22000000000000000000-2-2-2-2-2-2-2-2-2-2222222222-20000002-2000000000000000000
χ6522222-2-2-2-22-2-22222-2-22-2000000-22000000000000000000-2-2-2-2-22222-222-2-2-2-222-220000002-2000000000000000000
χ6622222-2-2-2-22-2-22222-2-2-220000002-2000000000000000000-2-2-2-2-22222-222-2-2-2-2222-2000000-22000000000000000000
χ672222-222-2-2-22-222-2-22-200002-22-200000000000000000000-2-2-2-22-2-2222-22-2-222-220000-22-2200000000000000000000
χ682222-222-2-2-22-222-2-22-20000-22-2200000000000000000000-2-2-2-22-2-2222-22-2-222-2200002-22-200000000000000000000
χ692222-222-2-2-2-22-2-222-220022000000-2-20000000000000000-2-2-2-22-2-22222-222-2-22-200-2-2000000220000000000000000
χ702222-222-2-2-2-22-2-222-2200-2-2000000220000000000000000-2-2-2-22-2-22222-222-2-22-20022000000-2-20000000000000000
χ712222-2-2-222-22-2-2-2222-200002-2-2200000000000000000000-2-2-2-2222-2-22-2222-2-2-220000-222-200000000000000000000
χ722222-2-2-222-22-2-2-2222-20000-222-200000000000000000000-2-2-2-2222-2-22-2222-2-2-2200002-2-2200000000000000000000
χ732222-2-2-222-2-2222-2-2-22002-2000000-220000000000000000-2-2-2-2222-2-222-2-2-2222-200-220000002-20000000000000000
χ742222-2-2-222-2-2222-2-2-2200-220000002-20000000000000000-2-2-2-2222-2-222-2-2-2222-2002-2000000-220000000000000000
χ752-2-2222-22-2-2222-22-2-2-20000000000000000000000002i−2i2i−2i-222-2-2-22-222-2-2-22-2222000000000000000000000000−2i2i−2i2i
χ762-2-2222-22-2-2222-22-2-2-2000000000000000000000000−2i2i−2i2i-222-2-2-22-222-2-2-22-22220000000000000000000000002i−2i2i−2i
χ772-2-2222-22-2-2-2-2-22-2222000000000000000000002-22-20000-222-2-2-22-222222-22-2-2-200000000000000000000-22-220000
χ782-2-2222-22-2-2-2-2-22-222200000000000000000000-22-220000-222-2-2-22-222222-22-2-2-2000000000000000000002-22-20000
χ792-2-222-22-22-222-22-22-2-20000000000000000000000002i−2i−2i2i-222-2-22-22-22-2-22-22-222000000000000000000000000−2i2i2i−2i
χ802-2-222-22-22-222-22-22-2-2000000000000000000000000−2i2i2i−2i-222-2-22-22-22-2-22-22-2220000000000000000000000002i−2i−2i2i
χ812-2-222-22-22-2-2-22-22-222000000000000000000002-2-220000-222-2-22-22-2222-22-22-2-200000000000000000000-222-20000
χ822-2-222-22-22-2-2-22-22-22200000000000000000000-222-20000-222-2-22-22-2222-22-22-2-2000000000000000000002-2-220000
χ832-2-22-22-2-2222-22-2-22-220000000000002-22-2000000000000-222-22-222-2-2-22-222-22-2000000000000-22-22000000000000
χ842-2-22-22-2-2222-22-2-22-22000000000000-22-22000000000000-222-22-222-2-2-22-222-22-20000000000002-22-2000000000000
χ852-2-22-22-2-222-22-222-22-200000000000000002-22-200000000-222-22-222-2-22-22-2-22-220000000000000000-22-2200000000
χ862-2-22-22-2-222-22-222-22-20000000000000000-22-2200000000-222-22-222-2-22-22-2-22-2200000000000000002-22-200000000
χ872-2-22-2-222-222-2-222-2-220000000000002-2-22000000000000-222-222-2-22-2-222-2-222-2000000000000-222-2000000000000
χ882-2-22-2-222-222-2-222-2-22000000000000-222-2000000000000-222-222-2-22-2-222-2-222-20000000000002-2-22000000000000
χ892-2-22-2-222-22-222-2-222-200000000000000002-2-2200000000-222-222-2-22-22-2-222-2-220000000000000000-222-200000000
χ902-2-22-2-222-22-222-2-222-20000000000000000-222-200000000-222-222-2-22-22-2-222-2-2200000000000000002-2-2200000000
χ9188-8-8000000000000000000000000000000000000000000-8-888000000000000000000000000000000000000000000
χ928-88-8000000000000000000000000000000000000000000-88-88000000000000000000000000000000000000000000

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