Finite Group Databasebeta

← Group #21149

Character table — Group #21149

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111122222222222222222222222222228888888811111111222222222222222222222222222288888888
order1222222244444444444488888888888888884444444422222222444444444444888888888888888844444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91-1-1111-1-11-1iiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i1-1-1111-1-11-1iiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i
χ101-1-1111-1-11-1iiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii1-1-1111-1-11-1iiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii
χ111-1-1111-1-11-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii1-1-1111-1-11-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii
χ121-1-1111-1-11-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii-111-1−iii−i1-1-1111-1-11-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii-111-1−iii−i
χ131-1-1111-1-11-1−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii1-1-1111-1-11-1−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii
χ141-1-1111-1-11-1−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i1-1-1111-1-11-1−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i
χ151-1-1111-1-11-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i1-1-1111-1-11-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i
χ161-1-1111-1-11-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii1-1-1111-1-11-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii
χ1722222222-2-222-2-222-2-2-2-200000000000000000000000022222222-2-222-2-222-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-222-2-200000000000000000000000022222222-2-2-2-222-2-222-2-2000000000000000000000000
χ192222-2-2-2-22-200000000-220000000022-2-222-2-2000000002222-2-2-2-22-200000000-220000000022-2-222-2-200000000
χ202222-2-2-2-22-200000000-2200000000-2-222-2-222000000002222-2-2-2-22-200000000-2200000000-2-222-2-22200000000
χ212222-2-2-2-2-22000000002-222-2-222-2-200000000000000002222-2-2-2-2-22000000002-222-2-222-2-20000000000000000
χ222222-2-2-2-2-22000000002-2-2-222-2-22200000000000000002222-2-2-2-2-22000000002-2-2-222-2-2220000000000000000
χ2322-2-22-22-200002i−2i002i−2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000022-2-22-22-200002i−2i002i−2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000
χ2422-2-22-22-200002i−2i002i−2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000022-2-22-22-200002i−2i002i−2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000
χ2522-2-22-22-20000−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000022-2-22-22-20000−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000
χ2622-2-22-22-20000−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000022-2-22-22-20000−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000
χ2722-2-2-22-22002i−2i002i−2i0000i2−i2−i2i2i2−i2−i2i22−2−222−2−220000000022-2-2-22-22002i−2i002i−2i0000i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000
χ2822-2-2-22-22002i−2i002i−2i0000−i2i2i2−i2−i2i2i2−i2−222−2−222−20000000022-2-2-22-22002i−2i002i−2i0000−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000
χ2922-2-2-22-2200−2i2i00−2i2i0000i2−i2−i2i2i2−i2−i2i2−222−2−222−20000000022-2-2-22-2200−2i2i00−2i2i0000i2−i2−i2i2i2−i2−i2i2−222−2−222−200000000
χ3022-2-2-22-2200−2i2i00−2i2i0000−i2i2i2−i2−i2i2i2−i22−2−222−2−220000000022-2-2-22-2200−2i2i00−2i2i0000−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000
χ312-22-22-2-2200002-200-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000002-22-22-2-2200002-200-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ322-22-22-2-2200002-200-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000002-22-22-2-2200002-200-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ332-22-22-2-220000-22002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000002-22-22-2-220000-22002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ342-22-22-2-220000-22002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000002-22-22-2-220000-22002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ352-22-2-222-2002-200-220000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2000000002-22-2-222-2002-200-220000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ362-22-2-222-2002-200-220000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2000000002-22-2-222-2002-200-220000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ372-22-2-222-200-22002-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000002-22-2-222-200-22002-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ382-22-2-222-200-22002-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000002-22-2-222-200-22002-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ392-2-2222-2-2-222i2i−2i−2i−2i−2i2i2i-220000000000000000000000002-2-2222-2-2-222i2i−2i−2i−2i−2i2i2i-22000000000000000000000000
χ402-2-2222-2-2-22−2i−2i2i2i2i2i−2i−2i-220000000000000000000000002-2-2222-2-2-22−2i−2i2i2i2i2i−2i−2i-22000000000000000000000000
χ412-2-22-2-2222200000000-2-2000000002i2i−2i−2i−2i−2i2i2i000000002-2-22-2-2222200000000-2-2000000002i2i−2i−2i−2i−2i2i2i00000000
χ422-2-22-2-2222200000000-2-200000000−2i−2i2i2i2i2i−2i−2i000000002-2-22-2-2222200000000-2-200000000−2i−2i2i2i2i2i−2i−2i00000000
χ432-2-22-2-222-2-2000000002222-2-2-2-22200000000000000002-2-22-2-222-2-2000000002222-2-2-2-2220000000000000000
χ442-2-22-2-222-2-20000000022-2-22222-2-200000000000000002-2-22-2-222-2-20000000022-2-22222-2-20000000000000000
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
χ4711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111
χ4811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1
χ491111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ501111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ511111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ521111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ531-1-1111-1-11-1iiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i-111-1-1-111-11−i−i−i−iiiii-11-1-1-1-11111−i−i−i−iiiii-11-11−ii−ii
χ541-1-1111-1-11-1iiii−i−i−i−i1-11111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii-111-1-1-111-11−i−i−i−iiiii-11-1-1-1-11111−i−i−i−iiiii1-11-1i−ii−i
χ551-1-1111-1-11-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii-111-1-1-111-11−i−i−i−iiiii-111111-1-1-1-1iiii−i−i−i−i-111-1−iii−i
χ561-1-1111-1-11-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii-111-1−iii−i-111-1-1-111-11−i−i−i−iiiii-111111-1-1-1-1iiii−i−i−i−i1-1-11i−i−ii
χ571-1-1111-1-11-1−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii-111-1-1-111-11iiii−i−i−i−i-11-1-1-1-11111iiii−i−i−i−i-11-11i−ii−i
χ581-1-1111-1-11-1−i−i−i−iiiii1-11111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i-111-1-1-111-11iiii−i−i−i−i-11-1-1-1-11111iiii−i−i−i−i1-11-1−ii−ii
χ591-1-1111-1-11-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i-111-1-1-111-11iiii−i−i−i−i-111111-1-1-1-1−i−i−i−iiiii-111-1i−i−ii
χ601-1-1111-1-11-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii-111-1-1-111-11iiii−i−i−i−i-111111-1-1-1-1−i−i−i−iiiii1-1-11−iii−i
χ6122222222-2-222-2-222-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-222-2-222-2-22222000000000000000000000000
χ6222222222-2-2-2-222-2-222-2-2000000000000000000000000-2-2-2-2-2-2-2-22222-2-222-2-222000000000000000000000000
χ632222-2-2-2-22-200000000-220000000022-2-222-2-200000000-2-2-2-22222-22000000002-200000000-2-222-2-22200000000
χ642222-2-2-2-22-200000000-2200000000-2-222-2-22200000000-2-2-2-22222-22000000002-20000000022-2-222-2-200000000
χ652222-2-2-2-2-22000000002-222-2-222-2-20000000000000000-2-2-2-222222-200000000-22-2-222-2-2220000000000000000
χ662222-2-2-2-2-22000000002-2-2-222-2-2220000000000000000-2-2-2-222222-200000000-2222-2-222-2-20000000000000000
χ6722-2-22-22-200002i−2i002i−2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000-2-222-22-220000−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000
χ6822-2-22-22-200002i−2i002i−2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000-2-222-22-220000−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000
χ6922-2-22-22-20000−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000-2-222-22-2200002i−2i002i−2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000
χ7022-2-22-22-20000−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000-2-222-22-2200002i−2i002i−2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000
χ7122-2-2-22-22002i−2i002i−2i0000i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000-2-2222-22-200−2i2i00−2i2i0000−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000
χ7222-2-2-22-22002i−2i002i−2i0000−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000-2-2222-22-200−2i2i00−2i2i0000i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000
χ7322-2-2-22-2200−2i2i00−2i2i0000i2−i2−i2i2i2−i2−i2i2−222−2−222−200000000-2-2222-22-2002i−2i002i−2i0000−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000
χ7422-2-2-22-2200−2i2i00−2i2i0000−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000-2-2222-22-2002i−2i002i−2i0000i2−i2−i2i2i2−i2−i2i2−222−2−222−200000000
χ752-22-22-2-2200002-200-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000-22-22-222-20000-22002-200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ762-22-22-2-2200002-200-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000-22-22-222-20000-22002-200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ772-22-22-2-220000-22002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000-22-22-222-200002-200-2200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ782-22-22-2-220000-22002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000-22-22-222-200002-200-2200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ792-22-2-222-2002-200-220000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000-22-222-2-2200-22002-20000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ802-22-2-222-2002-200-220000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000-22-222-2-2200-22002-20000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ812-22-2-222-200-22002-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000-22-222-2-22002-200-220000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ822-22-2-222-200-22002-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000-22-222-2-22002-200-220000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ832-2-2222-2-2-222i2i−2i−2i−2i−2i2i2i-22000000000000000000000000-222-2-2-2222-2−2i−2i2i2i2i2i−2i−2i2-2000000000000000000000000
χ842-2-2222-2-2-22−2i−2i2i2i2i2i−2i−2i-22000000000000000000000000-222-2-2-2222-22i2i−2i−2i−2i−2i2i2i2-2000000000000000000000000
χ852-2-22-2-2222200000000-2-2000000002i2i−2i−2i−2i−2i2i2i00000000-222-222-2-2-2-2000000002200000000−2i−2i2i2i2i2i−2i−2i00000000
χ862-2-22-2-2222200000000-2-200000000−2i−2i2i2i2i2i−2i−2i00000000-222-222-2-2-2-20000000022000000002i2i−2i−2i−2i−2i2i2i00000000
χ872-2-22-2-222-2-2000000002222-2-2-2-2220000000000000000-222-222-2-22200000000-2-2-2-22222-2-20000000000000000
χ882-2-22-2-222-2-20000000022-2-22222-2-20000000000000000-222-222-2-22200000000-2-222-2-2-2-2220000000000000000

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