Finite Group Databasebeta

← Group #6431916

Character table — Group #6431916

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222222222288888888888888888888888888881111222222222222228888888888888888888888888888
order12222222224444444422224444444444444444444444442222222222444444442222444444444444444444444444
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
χ311111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-111-1-111-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-1-1-111-1-111-1-111-1-1111111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-1-1-111-1-111-1-111-1-111
χ111111111111-1-1-1-1-1-1-1-11-1-11-111-1-11-1111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11-1-11-111-1-11-1111-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-1-1-1-1-11-1-11-111-1-11-11-1-111-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-11-111-1-11-11-1-111-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-1-111-1-11-111-1-1111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-11-111-1-1111-1-1-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-1-111-1-11-111-1-11-1-11111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-111-1-11-111-1-11-1-11111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-1-11-111-1-11-111-111-1-1-1-111-1-11111-1-11111111111-1-1-1-1-1-1-1-1-11-111-1-11-111-111-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-11111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-11111-1-111-1-1-1-111
χ1722222-2-22-2-22222-2-2-2-20000220000-2-2000000000000000022222-2-22-2-22222-2-2-2-20000220000-2-20000000000000000
χ1822222-2-22-2-22222-2-2-2-20000-2-2000022000000000000000022222-2-22-2-22222-2-2-2-20000-2-20000220000000000000000
χ1922222-2-22-2-2-2-2-2-2222200002-20000-22000000000000000022222-2-22-2-2-2-2-2-2222200002-20000-220000000000000000
χ2022222-2-22-2-2-2-2-2-222220000-2200002-2000000000000000022222-2-22-2-2-2-2-2-222220000-2200002-20000000000000000
χ212222-22-2-22-222-2-222-2-200220000-2-20000000000000000002222-22-2-22-222-2-222-2-200220000-2-2000000000000000000
χ222222-22-2-22-222-2-222-2-200-2-20000220000000000000000002222-22-2-22-222-2-222-2-200-2-2000022000000000000000000
χ232222-22-2-22-2-2-222-2-222002-20000-220000000000000000002222-22-2-22-2-2-222-2-222002-20000-22000000000000000000
χ242222-22-2-22-2-2-222-2-22200-2200002-20000000000000000002222-22-2-22-2-2-222-2-22200-2200002-2000000000000000000
χ252222-2-22-2-2222-2-2-2-2222-20000-22000000000000000000002222-2-22-2-2222-2-2-2-2222-20000-2200000000000000000000
χ262222-2-22-2-2222-2-2-2-222-2200002-2000000000000000000002222-2-22-2-2222-2-2-2-222-2200002-200000000000000000000
χ272222-2-22-2-22-2-22222-2-2220000-2-2000000000000000000002222-2-22-2-22-2-22222-2-2220000-2-200000000000000000000
χ282222-2-22-2-22-2-22222-2-2-2-2000022000000000000000000002222-2-22-2-22-2-22222-2-2-2-200002200000000000000000000
χ292-22-222-2-2-222-22-22-22-2000000000000000000002i−2i2i−2i00002-22-222-2-2-222-22-22-22-2000000000000000000002i−2i2i−2i0000
χ302-22-222-2-2-222-22-22-22-200000000000000000000−2i2i−2i2i00002-22-222-2-2-222-22-22-22-200000000000000000000−2i2i−2i2i0000
χ312-22-222-2-2-22-22-22-22-22000000000000000000002i−2i−2i2i00002-22-222-2-2-22-22-22-22-22000000000000000000002i−2i−2i2i0000
χ322-22-222-2-2-22-22-22-22-2200000000000000000000−2i2i2i−2i00002-22-222-2-2-22-22-22-22-2200000000000000000000−2i2i2i−2i0000
χ332-22-22-22-22-22-22-2-22-2200000000000000002i−2i2i−2i000000002-22-22-22-22-22-22-2-22-2200000000000000002i−2i2i−2i00000000
χ342-22-22-22-22-22-22-2-22-220000000000000000−2i2i−2i2i000000002-22-22-22-22-22-22-2-22-220000000000000000−2i2i−2i2i00000000
χ352-22-22-22-22-2-22-222-22-200000000000000002i−2i−2i2i000000002-22-22-22-22-2-22-222-22-200000000000000002i−2i−2i2i00000000
χ362-22-22-22-22-2-22-222-22-20000000000000000−2i2i2i−2i000000002-22-22-22-22-2-22-222-22-20000000000000000−2i2i2i−2i00000000
χ372-22-2-2222-2-22-2-222-2-220000000000002i−2i2i−2i0000000000002-22-2-2222-2-22-2-222-2-220000000000002i−2i2i−2i000000000000
χ382-22-2-2222-2-22-2-222-2-22000000000000−2i2i−2i2i0000000000002-22-2-2222-2-22-2-222-2-22000000000000−2i2i−2i2i000000000000
χ392-22-2-2222-2-2-222-2-222-20000000000002i−2i−2i2i0000000000002-22-2-2222-2-2-222-2-222-20000000000002i−2i−2i2i000000000000
χ402-22-2-2222-2-2-222-2-222-2000000000000−2i2i2i−2i0000000000002-22-2-2222-2-2-222-2-222-2000000000000−2i2i2i−2i000000000000
χ412-22-2-2-2-22222-2-22-222-20000000000000000000000002-22-22-22-2-2-2-22222-2-22-222-20000000000000000000000002-22-2
χ422-22-2-2-2-22222-2-22-222-2000000000000000000000000-22-222-22-2-2-2-22222-2-22-222-2000000000000000000000000-22-22
χ432-22-2-2-2-2222-222-22-2-220000000000000000000000002-2-222-22-2-2-2-2222-222-22-2-220000000000000000000000002-2-22
χ442-22-2-2-2-2222-222-22-2-22000000000000000000000000-222-22-22-2-2-2-2222-222-22-2-22000000000000000000000000-222-2
χ4588-8-800000000000000000000000000000000000000000088-8-8000000000000000000000000000000000000000000
χ468-8-880000000000000000000000000000000000000000008-8-88000000000000000000000000000000000000000000
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
χ4911111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111
χ5011111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1
χ51111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111
χ52111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-1-1-1
χ53111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ54111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111
χ551111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-11-11-11-1-111-1-111-1-111-1-111
χ561111111111-1-1-1-1-1-1-1-11-11-11-11-11-11-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-11-11-11-11-11-1111-1-111-1-111-1-111-1-1
χ571111111111-1-1-1-1-1-1-1-11-1-11-111-1-11-1111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-111-11-1-111-11-1-1-111-1-11111-1-111-1-1
χ581111111111-1-1-1-1-1-1-1-11-1-11-111-1-11-11-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-11-1-111-11-111-1-111-1-1-1-111-1-111
χ591111111111-1-1-1-1-1-1-1-1-111-1-11-111-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-111-11-1-111-1-1-11111-1-1-1-11111-1-1
χ601111111111-1-1-1-1-1-1-1-1-111-1-11-111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-11-1-111-111-1-1-1-11111-1-1-1-111
χ611111111111-1-1-1-1-1-1-1-1-11-111-1-11-111-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111-11-1-11-1-11111-1-111-1-1-1-111
χ621111111111-1-1-1-1-1-1-1-1-11-111-1-11-111-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-11-1-111-11-1-1111-1-1-1-111-1-11111-1-1
χ6322222-2-22-2-22222-2-2-2-20000220000-2-20000000000000000-2-2-2-2-222-222-2-2-2-222220000-2-20000220000000000000000
χ6422222-2-22-2-22222-2-2-2-20000-2-20000220000000000000000-2-2-2-2-222-222-2-2-2-222220000220000-2-20000000000000000
χ6522222-2-22-2-2-2-2-2-2222200002-20000-220000000000000000-2-2-2-2-222-2222222-2-2-2-20000-2200002-20000000000000000
χ6622222-2-22-2-2-2-2-2-222220000-2200002-20000000000000000-2-2-2-2-222-2222222-2-2-2-200002-20000-220000000000000000
χ672222-22-2-22-222-2-222-2-200220000-2-2000000000000000000-2-2-2-22-222-22-2-222-2-22200-2-2000022000000000000000000
χ682222-22-2-22-222-2-222-2-200-2-2000022000000000000000000-2-2-2-22-222-22-2-222-2-22200220000-2-2000000000000000000
χ692222-22-2-22-2-2-222-2-222002-20000-22000000000000000000-2-2-2-22-222-2222-2-222-2-200-2200002-2000000000000000000
χ702222-22-2-22-2-2-222-2-22200-2200002-2000000000000000000-2-2-2-22-222-2222-2-222-2-2002-20000-22000000000000000000
χ712222-2-22-2-2222-2-2-2-2222-20000-2200000000000000000000-2-2-2-222-222-2-2-22222-2-2-2200002-200000000000000000000
χ722222-2-22-2-2222-2-2-2-222-2200002-200000000000000000000-2-2-2-222-222-2-2-22222-2-22-20000-2200000000000000000000
χ732222-2-22-2-22-2-22222-2-2220000-2-200000000000000000000-2-2-2-222-222-222-2-2-2-222-2-200002200000000000000000000
χ742222-2-22-2-22-2-22222-2-2-2-200002200000000000000000000-2-2-2-222-222-222-2-2-2-222220000-2-200000000000000000000
χ752-22-222-2-2-222-22-22-22-2000000000000000000002i−2i2i−2i0000-22-22-2-2222-2-22-22-22-2200000000000000000000−2i2i−2i2i0000
χ762-22-222-2-2-222-22-22-22-200000000000000000000−2i2i−2i2i0000-22-22-2-2222-2-22-22-22-22000000000000000000002i−2i2i−2i0000
χ772-22-222-2-2-22-22-22-22-22000000000000000000002i−2i−2i2i0000-22-22-2-2222-22-22-22-22-200000000000000000000−2i2i2i−2i0000
χ782-22-222-2-2-22-22-22-22-2200000000000000000000−2i2i2i−2i0000-22-22-2-2222-22-22-22-22-2000000000000000000002i−2i−2i2i0000
χ792-22-22-22-22-22-22-2-22-2200000000000000002i−2i2i−2i00000000-22-22-22-22-22-22-222-22-20000000000000000−2i2i−2i2i00000000
χ802-22-22-22-22-22-22-2-22-220000000000000000−2i2i−2i2i00000000-22-22-22-22-22-22-222-22-200000000000000002i−2i2i−2i00000000
χ812-22-22-22-22-2-22-222-22-200000000000000002i−2i−2i2i00000000-22-22-22-22-222-22-2-22-220000000000000000−2i2i2i−2i00000000
χ822-22-22-22-22-2-22-222-22-20000000000000000−2i2i2i−2i00000000-22-22-22-22-222-22-2-22-2200000000000000002i−2i−2i2i00000000
χ832-22-2-2222-2-22-2-222-2-220000000000002i−2i2i−2i000000000000-22-222-2-2-222-222-2-222-2000000000000−2i2i−2i2i000000000000
χ842-22-2-2222-2-22-2-222-2-22000000000000−2i2i−2i2i000000000000-22-222-2-2-222-222-2-222-20000000000002i−2i2i−2i000000000000
χ852-22-2-2222-2-2-222-2-222-20000000000002i−2i−2i2i000000000000-22-222-2-2-2222-2-222-2-22000000000000−2i2i2i−2i000000000000
χ862-22-2-2222-2-2-222-2-222-2000000000000−2i2i2i−2i000000000000-22-222-2-2-2222-2-222-2-220000000000002i−2i−2i2i000000000000
χ872-22-2-2-2-22222-2-22-222-20000000000000000000000002-22-2-22-22222-2-2-2-222-22-2-22000000000000000000000000-22-22
χ882-22-2-2-2-22222-2-22-222-2000000000000000000000000-22-22-22-22222-2-2-2-222-22-2-220000000000000000000000002-22-2
χ892-22-2-2-2-2222-222-22-2-220000000000000000000000002-2-22-22-22222-2-2-22-2-22-222-2000000000000000000000000-222-2
χ902-22-2-2-2-2222-222-22-2-22000000000000000000000000-222-2-22-22222-2-2-22-2-22-222-20000000000000000000000002-2-22
χ9188-8-8000000000000000000000000000000000000000000-8-888000000000000000000000000000000000000000000
χ928-8-88000000000000000000000000000000000000000000-888-8000000000000000000000000000000000000000000

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