Finite Group Databasebeta

← Group #13849

Character table — Group #13849

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111111111111444444444444444444444444444411111111111111114444444444444444444444444444
order1222222222222222444444444444444444444444444422222222222222224444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ71111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ91111111-1-1-1-1-1-1-1-11ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-11111111-1-1-1-1-1-1-1-11ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1
χ101111111-1-1-1-1-1-1-1-11ii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-11ii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-1-111
χ111111111-1-1-1-1-1-1-1-11ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-11ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-111
χ121111111-1-1-1-1-1-1-1-11ii−i−i−i−iii−i−iiiii−i−i-1-111-1-11111-1-11111111-1-1-1-1-1-1-1-11ii−i−i−i−iii−i−iiiii−i−i-1-111-1-11111-1-1
χ131111111-1-1-1-1-1-1-1-11−i−iiiii−i−iii−i−i−i−iii-1-111-1-11111-1-11111111-1-1-1-1-1-1-1-11−i−iiiii−i−iii−i−i−i−iii-1-111-1-11111-1-1
χ141111111-1-1-1-1-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-111
χ151111111-1-1-1-1-1-1-1-11−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-1-1111111111-1-1-1-1-1-1-1-11−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-1-111
χ161111111-1-1-1-1-1-1-1-11−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-11111111-1-1-1-1-1-1-1-11−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1
χ172222-2-2-2222-22-2-2-2-20000000000002-22-20000000000002222-2-2-2222-22-2-2-2-20000000000002-22-2000000000000
χ182222-2-2-2222-22-2-2-2-2000000000000-22-220000000000002222-2-2-2222-22-2-2-2-2000000000000-22-22000000000000
χ192222-2-2-2-2-2-22-2222-20000000000002i−2i−2i2i0000000000002222-2-2-2-2-2-22-2222-20000000000002i−2i−2i2i000000000000
χ202222-2-2-2-2-2-22-2222-2000000000000−2i2i2i−2i0000000000002222-2-2-2-2-2-22-2222-2000000000000−2i2i2i−2i000000000000
χ2122-2-222-222-22-22-2-2-2000000002-22-2000000000000000022-2-222-222-22-22-2-2-2000000002-22-20000000000000000
χ2222-2-222-222-22-22-2-2-200000000-22-22000000000000000022-2-222-222-22-22-2-2-200000000-22-220000000000000000
χ2322-2-222-2-2-22-22-222-2000000002i−2i−2i2i000000000000000022-2-222-2-2-22-22-222-2000000002i−2i−2i2i0000000000000000
χ2422-2-222-2-2-22-22-222-200000000−2i2i2i−2i000000000000000022-2-222-2-2-22-22-222-200000000−2i2i2i−2i0000000000000000
χ2522-2-2-2-2222-2-2-2-222200000000000000002-22-20000000022-2-2-2-2222-2-2-2-222200000000000000002-22-200000000
χ2622-2-2-2-2222-2-2-2-22220000000000000000-22-220000000022-2-2-2-2222-2-2-2-22220000000000000000-22-2200000000
χ2722-2-2-2-22-2-22222-2-2200000000000000002-2-220000000022-2-2-2-22-2-22222-2-2200000000000000002-2-2200000000
χ2822-2-2-2-22-2-22222-2-220000000000000000-222-20000000022-2-2-2-22-2-22222-2-220000000000000000-222-200000000
χ292-22-22-222-222-2-22-2-200002-22-2000000000000000000002-22-22-222-222-2-22-2-200002-22-200000000000000000000
χ302-22-22-222-222-2-22-2-20000-22-22000000000000000000002-22-22-222-222-2-22-2-20000-22-2200000000000000000000
χ312-22-22-22-22-2-222-22-200002i−2i−2i2i000000000000000000002-22-22-22-22-2-222-22-200002i−2i−2i2i00000000000000000000
χ322-22-22-22-22-2-222-22-20000−2i2i2i−2i000000000000000000002-22-22-22-22-2-222-22-20000−2i2i2i−2i00000000000000000000
χ332-22-2-22-22-22-2-22-222000000000000000000002-22-200002-22-2-22-22-22-2-22-222000000000000000000002-22-20000
χ342-22-2-22-22-22-2-22-22200000000000000000000-22-2200002-22-2-22-22-22-2-22-22200000000000000000000-22-220000
χ352-22-2-22-2-22-222-22-22000000000000000000002-2-2200002-22-2-22-2-22-222-22-22000000000000000000002-2-220000
χ362-22-2-22-2-22-222-22-2200000000000000000000-222-200002-22-2-22-2-22-222-22-2200000000000000000000-222-20000
χ372-2-222-2-22-2-222-2-2220000000000000000000000002-22-22-2-222-2-22-2-222-2-2220000000000000000000000002-22-2
χ382-2-222-2-22-2-222-2-222000000000000000000000000-22-222-2-222-2-22-2-222-2-222000000000000000000000000-22-22
χ392-2-222-2-2-222-2-222-220000000000000000000000002-2-222-2-222-2-2-222-2-222-220000000000000000000000002-2-22
χ402-2-222-2-2-222-2-222-22000000000000000000000000-222-22-2-222-2-2-222-2-222-22000000000000000000000000-222-2
χ412-2-22-2222-2-2-2222-2-22i−2i2i−2i0000000000000000000000002-2-22-2222-2-2-2222-2-22i−2i2i−2i000000000000000000000000
χ422-2-22-2222-2-2-2222-2-2−2i2i−2i2i0000000000000000000000002-2-22-2222-2-2-2222-2-2−2i2i−2i2i000000000000000000000000
χ432-2-22-222-2222-2-2-22-22-2-220000000000000000000000002-2-22-222-2222-2-2-22-22-2-22000000000000000000000000
χ442-2-22-222-2222-2-2-22-2-222-20000000000000000000000002-2-22-222-2222-2-2-22-2-222-2000000000000000000000000
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
χ46111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ4711111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ4811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ491111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ501111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ511111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ521111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ531111111-1-1-1-1-1-1-1-11ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111-1-111
χ541111111-1-1-1-1-1-1-1-11ii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-1-111-1-1-1-1-1-1-111111111-1−i−iii−i−iiiii−i−iii−i−i-1-11111-1-111-1-1
χ551111111-1-1-1-1-1-1-1-11ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-111-1-1-1-1-1-1-111111111-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1
χ561111111-1-1-1-1-1-1-1-11ii−i−i−i−iii−i−iiiii−i−i-1-111-1-11111-1-1-1-1-1-1-1-1-111111111-1−i−iiiii−i−iii−i−i−i−iii11-1-111-1-1-1-111
χ571111111-1-1-1-1-1-1-1-11−i−iiiii−i−iii−i−i−i−iii-1-111-1-11111-1-1-1-1-1-1-1-1-111111111-1ii−i−i−i−iii−i−iiiii−i−i11-1-111-1-1-1-111
χ581111111-1-1-1-1-1-1-1-11−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-111-1-1-1-1-1-1-111111111-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1
χ591111111-1-1-1-1-1-1-1-11−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-1-111-1-1-1-1-1-1-111111111-1ii−i−iii−i−i−i−iii−i−iii-1-11111-1-111-1-1
χ601111111-1-1-1-1-1-1-1-11−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111-1-111
χ612222-2-2-2222-22-2-2-2-20000000000002-22-2000000000000-2-2-2-2222-2-2-22-22222000000000000-22-22000000000000
χ622222-2-2-2222-22-2-2-2-2000000000000-22-22000000000000-2-2-2-2222-2-2-22-222220000000000002-22-2000000000000
χ632222-2-2-2-2-2-22-2222-20000000000002i−2i−2i2i000000000000-2-2-2-2222222-22-2-2-22000000000000−2i2i2i−2i000000000000
χ642222-2-2-2-2-2-22-2222-2000000000000−2i2i2i−2i000000000000-2-2-2-2222222-22-2-2-220000000000002i−2i−2i2i000000000000
χ6522-2-222-222-22-22-2-2-2000000002-22-20000000000000000-2-222-2-22-2-22-22-222200000000-22-220000000000000000
χ6622-2-222-222-22-22-2-2-200000000-22-220000000000000000-2-222-2-22-2-22-22-2222000000002-22-20000000000000000
χ6722-2-222-2-2-22-22-222-2000000002i−2i−2i2i0000000000000000-2-222-2-2222-22-22-2-2200000000−2i2i2i−2i0000000000000000
χ6822-2-222-2-2-22-22-222-200000000−2i2i2i−2i0000000000000000-2-222-2-2222-22-22-2-22000000002i−2i−2i2i0000000000000000
χ6922-2-2-2-2222-2-2-2-222200000000000000002-22-200000000-2-22222-2-2-22222-2-2-20000000000000000-22-2200000000
χ7022-2-2-2-2222-2-2-2-22220000000000000000-22-2200000000-2-22222-2-2-22222-2-2-200000000000000002-22-200000000
χ7122-2-2-2-22-2-22222-2-2200000000000000002-2-2200000000-2-22222-222-2-2-2-222-20000000000000000-222-200000000
χ7222-2-2-2-22-2-22222-2-220000000000000000-222-200000000-2-22222-222-2-2-2-222-200000000000000002-2-2200000000
χ732-22-22-222-222-2-22-2-200002-22-200000000000000000000-22-22-22-2-22-2-222-2220000-22-2200000000000000000000
χ742-22-22-222-222-2-22-2-20000-22-2200000000000000000000-22-22-22-2-22-2-222-22200002-22-200000000000000000000
χ752-22-22-22-22-2-222-22-200002i−2i−2i2i00000000000000000000-22-22-22-22-222-2-22-220000−2i2i2i−2i00000000000000000000
χ762-22-22-22-22-2-222-22-20000−2i2i2i−2i00000000000000000000-22-22-22-22-222-2-22-2200002i−2i−2i2i00000000000000000000
χ772-22-2-22-22-22-2-22-222000000000000000000002-22-20000-22-222-22-22-222-22-2-200000000000000000000-22-220000
χ782-22-2-22-22-22-2-22-22200000000000000000000-22-220000-22-222-22-22-222-22-2-2000000000000000000002-22-20000
χ792-22-2-22-2-22-222-22-22000000000000000000002-2-220000-22-222-222-22-2-22-22-200000000000000000000-222-20000
χ802-22-2-22-2-22-222-22-2200000000000000000000-222-20000-22-222-222-22-2-22-22-2000000000000000000002-2-220000
χ812-2-222-2-22-2-222-2-2220000000000000000000000002-22-2-222-2-222-222-2-222-2-2000000000000000000000000-22-22
χ822-2-222-2-22-2-222-2-222000000000000000000000000-22-22-222-2-222-222-2-222-2-20000000000000000000000002-22-2
χ832-2-222-2-2-222-2-222-220000000000000000000000002-2-22-222-2-2222-2-222-2-22-2000000000000000000000000-222-2
χ842-2-222-2-2-222-2-222-22000000000000000000000000-222-2-222-2-2222-2-222-2-22-20000000000000000000000002-2-22
χ852-2-22-2222-2-2-2222-2-22i−2i2i−2i000000000000000000000000-222-22-2-2-2222-2-2-222−2i2i−2i2i000000000000000000000000
χ862-2-22-2222-2-2-2222-2-2−2i2i−2i2i000000000000000000000000-222-22-2-2-2222-2-2-2222i−2i2i−2i000000000000000000000000
χ872-2-22-222-2222-2-2-22-22-2-22000000000000000000000000-222-22-2-22-2-2-2222-22-222-2000000000000000000000000
χ882-2-22-222-2222-2-2-22-2-222-2000000000000000000000000-222-22-2-22-2-2-2222-222-2-22000000000000000000000000

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