Finite Group Databasebeta

← Group #20656

Character table — Group #20656

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111122222222222222222222222222228888888811111111222222222222222222222222222288888888
order1222222222224444444488888888888888884444444422222222222244444444888888888888888844444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i1111-1-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i
χ101111-1-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii1111-1-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii
χ111111-1-1-1-111-1-11-1-111-1-11-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii1111-1-1-1-111-1-11-1-111-1-11-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii
χ121111-1-1-1-111-1-11-1-111-1-11-1-1-1-11111-1-1-1-11111−ii−iii−ii−i1111-1-1-1-111-1-11-1-111-1-11-1-1-1-11111-1-1-1-11111−ii−iii−ii−i
χ131111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111i−i−iii−i−ii1111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111i−i−iii−i−ii
χ141111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111−iii−i−iii−i1111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111−iii−i−iii−i
χ151111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1i−i−ii−iii−i1111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1i−i−ii−iii−i
χ161111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii1111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii
χ17222222222222-2-2-2-2-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-2-2-2-22222-200000000000000000000000022222222-2-2-2-2-2-2-22222-2000000000000000000000000
χ192222-2-2-2-222-2-2-222-2-222-20000000000000000000000002222-2-2-2-222-2-2-222-2-222-2000000000000000000000000
χ202222-2-2-2-2-2-222-22222-2-2-20000000000000000000000002222-2-2-2-2-2-222-22222-2-2-2000000000000000000000000
χ2122-2-222-2-200000002i−2i2i−2i0i2i2−i2−i2i2i2−i2−i222−2−222−2−20000000022-2-222-2-200000002i−2i2i−2i0i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000
χ2222-2-222-2-200000002i−2i2i−2i0−i2−i2i2i2−i2−i2i2i2−2−222−2−2220000000022-2-222-2-200000002i−2i2i−2i0−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000
χ2322-2-222-2-20000000−2i2i−2i2i0i2i2−i2−i2i2i2−i2−i2−2−222−2−2220000000022-2-222-2-20000000−2i2i−2i2i0i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000
χ2422-2-222-2-20000000−2i2i−2i2i0−i2−i2i2i2−i2−i2i2i222−2−222−2−20000000022-2-222-2-20000000−2i2i−2i2i0−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000
χ2522-2-2-2-22200000002i−2i−2i2i0i2i2−i2−i2−i2−i2i2i222−2−2−2−2220000000022-2-2-2-22200000002i−2i−2i2i0i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000
χ2622-2-2-2-22200000002i−2i−2i2i0−i2−i2i2i2i2i2−i2−i2−2−22222−2−20000000022-2-2-2-22200000002i−2i−2i2i0−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000
χ2722-2-2-2-2220000000−2i2i2i−2i0i2i2−i2−i2−i2−i2i2i2−2−22222−2−20000000022-2-2-2-2220000000−2i2i2i−2i0i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000
χ2822-2-2-2-2220000000−2i2i2i−2i0−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000000022-2-2-2-2220000000−2i2i2i−2i0−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000
χ292-22-22-22-22-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002-22-22-22-22-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ302-22-22-22-22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002-22-22-22-22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ312-22-22-22-2-22-2200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000002-22-22-22-2-22-2200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ322-22-22-22-2-22-2200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000002-22-22-22-2-22-2200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ332-22-2-22-222-2-2200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000002-22-2-22-222-2-2200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ342-22-2-22-222-2-2200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000002-22-2-22-222-2-2200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ352-22-2-22-22-222-200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000002-22-2-22-22-222-200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ362-22-2-22-22-222-200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000002-22-2-22-22-222-200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ372-2-222-2-22000022-20000-2000000002i−2i−2i2i2i−2i−2i2i000000002-2-222-2-22000022-20000-2000000002i−2i−2i2i2i−2i−2i2i00000000
χ382-2-222-2-22000022-20000-200000000−2i2i2i−2i−2i2i2i−2i000000002-2-222-2-22000022-20000-200000000−2i2i2i−2i−2i2i2i−2i00000000
χ392-2-222-2-220000-2-22000022-2-222-2-2200000000000000002-2-222-2-220000-2-22000022-2-222-2-220000000000000000
χ402-2-222-2-220000-2-2200002-222-2-222-200000000000000002-2-222-2-220000-2-2200002-222-2-222-20000000000000000
χ412-2-22-222-200002-220000-2000000002i−2i−2i2i−2i2i2i−2i000000002-2-22-222-200002-220000-2000000002i−2i−2i2i−2i2i2i−2i00000000
χ422-2-22-222-200002-220000-200000000−2i2i2i−2i2i−2i−2i2i000000002-2-22-222-200002-220000-200000000−2i2i2i−2i2i−2i−2i2i00000000
χ432-2-22-222-20000-22-2000022-2-22-222-200000000000000002-2-22-222-20000-22-2000022-2-22-222-20000000000000000
χ442-2-22-222-20000-22-200002-222-22-2-2200000000000000002-2-22-222-20000-22-200002-222-22-2-220000000000000000
χ4511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ46111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ4711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111
χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4911111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ5011111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ5111111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ5211111111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ531111-1-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i-1-1-1-11111-1-111-111-1-111-1-1-1-1-11111-1-1-1-11111−ii−ii−ii−ii
χ541111-1-1-1-111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii-1-1-1-11111-1-111-111-1-111-1-1-1-1-11111-1-1-1-11111i−ii−ii−ii−i
χ551111-1-1-1-111-1-11-1-111-1-11-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii-1-1-1-11111-1-111-111-1-111-11111-1-1-1-11111-1-1-1-1−ii−iii−ii−i
χ561111-1-1-1-111-1-11-1-111-1-11-1-1-1-11111-1-1-1-11111−ii−iii−ii−i-1-1-1-11111-1-111-111-1-111-11111-1-1-1-11111-1-1-1-1i−ii−i−ii−ii
χ571111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111i−i−iii−i−ii-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1−iii−i−iii−i
χ581111-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111−iii−i−iii−i-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-111111111-1-1-1-1i−i−iii−i−ii
χ591111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1i−i−ii−iii−i-1-1-1-1111111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111−iii−ii−i−ii
χ601111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii-1-1-1-1111111-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111i−i−ii−iii−i
χ61222222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000
χ6222222222-2-2-2-2-2-2-22222-2000000000000000000000000-2-2-2-2-2-2-2-22222222-2-2-2-22000000000000000000000000
χ632222-2-2-2-222-2-2-222-2-222-2000000000000000000000000-2-2-2-22222-2-2222-2-222-2-22000000000000000000000000
χ642222-2-2-2-2-2-222-22222-2-2-2000000000000000000000000-2-2-2-2222222-2-22-2-2-2-2222000000000000000000000000
χ6522-2-222-2-200000002i−2i2i−2i0i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000-2-222-2-2220000000−2i2i−2i2i0−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000
χ6622-2-222-2-200000002i−2i2i−2i0−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000-2-222-2-2220000000−2i2i−2i2i0i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000
χ6722-2-222-2-20000000−2i2i−2i2i0i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000-2-222-2-22200000002i−2i2i−2i0−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000
χ6822-2-222-2-20000000−2i2i−2i2i0−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000-2-222-2-22200000002i−2i2i−2i0i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000
χ6922-2-2-2-22200000002i−2i−2i2i0i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000-2-22222-2-20000000−2i2i2i−2i0−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000
χ7022-2-2-2-22200000002i−2i−2i2i0−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000-2-22222-2-20000000−2i2i2i−2i0i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000
χ7122-2-2-2-2220000000−2i2i2i−2i0i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000-2-22222-2-200000002i−2i−2i2i0−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000
χ7222-2-2-2-2220000000−2i2i2i−2i0−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000-2-22222-2-200000002i−2i−2i2i0i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000
χ732-22-22-22-22-22-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000-22-22-22-22-22-2200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ742-22-22-22-22-22-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000-22-22-22-22-22-2200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ752-22-22-22-2-22-2200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000-22-22-22-222-22-200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ762-22-22-22-2-22-2200000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000-22-22-22-222-22-200000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ772-22-2-22-222-2-2200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000-22-222-22-2-222-200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ782-22-2-22-222-2-2200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000-22-222-22-2-222-200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ792-22-2-22-22-222-200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000-22-222-22-22-2-2200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ802-22-2-22-22-222-200000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000-22-222-22-22-2-2200000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ812-2-222-2-22000022-20000-2000000002i−2i−2i2i2i−2i−2i2i00000000-222-2-222-20000-2-220000200000000−2i2i2i−2i−2i2i2i−2i00000000
χ822-2-222-2-22000022-20000-200000000−2i2i2i−2i−2i2i2i−2i00000000-222-2-222-20000-2-2200002000000002i−2i−2i2i2i−2i−2i2i00000000
χ832-2-222-2-220000-2-22000022-2-222-2-220000000000000000-222-2-222-2000022-20000-2-222-2-222-20000000000000000
χ842-2-222-2-220000-2-2200002-222-2-222-20000000000000000-222-2-222-2000022-20000-22-2-222-2-220000000000000000
χ852-2-22-222-200002-220000-2000000002i−2i−2i2i−2i2i2i−2i00000000-222-22-2-220000-22-20000200000000−2i2i2i−2i2i−2i−2i2i00000000
χ862-2-22-222-200002-220000-200000000−2i2i2i−2i2i−2i−2i2i00000000-222-22-2-220000-22-200002000000002i−2i−2i2i−2i2i2i−2i00000000
χ872-2-22-222-20000-22-2000022-2-22-222-20000000000000000-222-22-2-2200002-220000-2-222-22-2-220000000000000000
χ882-2-22-222-20000-22-200002-222-22-2-220000000000000000-222-22-2-2200002-220000-22-2-22-222-20000000000000000

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