Finite Group Databasebeta

← Group #21082

Character table — Group #21082

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111122222222222222222222222222228888888811111111222222222222222222222222222288888888
order1222222244444444444488888888888888882244444422222222444444444444888888888888888822444444
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
χ51111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111
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
χ911-11-11-1-11-1ii−i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i11-11-11-1-11-1ii−i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i
χ1011-11-11-1-11-1ii−i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii11-11-11-1-11-1ii−i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii
χ1111-11-11-1-11-1ii−i−iii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i-11−ii11-11-11-1-11-1ii−i−iii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i-11−ii
χ1211-11-11-1-11-1ii−i−iii−i−i1-1-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−i11-11-11-1-11-1ii−i−iii−i−i1-1-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−i
χ1311-11-11-1-11-1−i−iii−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii11-11-11-1-11-1−i−iii−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii
χ1411-11-11-1-11-1−i−iii−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i11-11-11-1-11-1−i−iii−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i
χ1511-11-11-1-11-1−i−iii−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i11-11-11-1-11-1−i−iii−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i
χ1611-11-11-1-11-1−i−iii−i−iii1-1-1-1-1-11111iiii−i−i−i−i-11i−i1-1−ii11-11-11-1-11-1−i−iii−i−iii1-1-1-1-1-11111iiii−i−i−i−i-11i−i1-1−ii
χ1722222222-2-22222-2-2-2-2-2-200000000000000000000000022222222-2-22222-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-2-2-2-2-22222-2-200000000000000000000000022222222-2-2-2-2-2-22222-2-2000000000000000000000000
χ19222-2-2-2-22002i−2i2i−2i000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000222-2-2-2-22002i−2i2i−2i000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000
χ20222-2-2-2-22002i−2i2i−2i000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000222-2-2-2-22002i−2i2i−2i000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000
χ21222-2-2-2-2200−2i2i−2i2i000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000222-2-2-2-2200−2i2i−2i2i000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000
χ22222-2-2-2-2200−2i2i−2i2i000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000222-2-2-2-2200−2i2i−2i2i000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000
χ2322-22-22-2-2-222i2i−2i−2i−2i−2i2i2i-2200000000000000000000000022-22-22-2-2-222i2i−2i−2i−2i−2i2i2i-22000000000000000000000000
χ2422-22-22-2-2-22−2i−2i2i2i2i2i−2i−2i-2200000000000000000000000022-22-22-2-2-22−2i−2i2i2i2i2i−2i−2i-22000000000000000000000000
χ2522-2-22-22-2002-2-22000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000022-2-22-22-2002-2-22000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ2622-2-22-22-2002-2-22000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000022-2-22-22-2002-2-22000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ2722-2-22-22-200-222-2000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000022-2-22-22-200-222-2000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ2822-2-22-22-200-222-2000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000022-2-22-22-200-222-2000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ292-222-2-22-22-200000000-222i−2i2i−2i2i−2i2i−2i00000000000000002-222-2-22-22-200000000-222i−2i2i−2i2i−2i2i−2i0000000000000000
χ302-222-2-22-22-200000000-22−2i2i−2i2i−2i2i−2i2i00000000000000002-222-2-22-22-200000000-22−2i2i−2i2i−2i2i−2i2i0000000000000000
χ312-222-2-22-2-22000000002-2000000002i−2i2i−2i2i−2i2i−2i000000002-222-2-22-2-22000000002-2000000002i−2i2i−2i2i−2i2i−2i00000000
χ322-222-2-22-2-22000000002-200000000−2i2i−2i2i−2i2i−2i2i000000002-222-2-22-2-22000000002-200000000−2i2i−2i2i−2i2i−2i2i00000000
χ332-22-222-2-20000002i−2i2i−2i002−2−222−2−22i2−i2−i2i2i2−i2−i2i2000000002-22-222-2-20000002i−2i2i−2i002−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000
χ342-22-222-2-20000002i−2i2i−2i00−222−2−222−2−i2i2i2−i2−i2i2i2−i2000000002-22-222-2-20000002i−2i2i−2i00−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000
χ352-22-222-2-2000000−2i2i−2i2i002−2−222−2−22−i2i2i2−i2−i2i2i2−i2000000002-22-222-2-2000000−2i2i−2i2i002−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000
χ362-22-222-2-2000000−2i2i−2i2i00−222−2−222−2i2−i2−i2i2i2−i2−i2i2000000002-22-222-2-2000000−2i2i−2i2i00−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000
χ372-2-222-2-222200000000-2-22i−2i2i−2i−2i2i−2i2i00000000000000002-2-222-2-222200000000-2-22i−2i2i−2i−2i2i−2i2i0000000000000000
χ382-2-222-2-222200000000-2-2−2i2i−2i2i2i−2i2i−2i00000000000000002-2-222-2-222200000000-2-2−2i2i−2i2i2i−2i2i−2i0000000000000000
χ392-2-222-2-22-2-20000000022000000002-22-2-22-22000000002-2-222-2-22-2-20000000022000000002-22-2-22-2200000000
χ402-2-222-2-22-2-2000000002200000000-22-222-22-2000000002-2-222-2-22-2-2000000002200000000-22-222-22-200000000
χ412-2-2-2-22220000002-2-22002−2−22−222−22−2−22−222−2000000002-2-2-2-22220000002-2-22002−2−22−222−22−2−22−222−200000000
χ422-2-2-2-22220000002-2-2200−222−22−2−22−222−22−2−22000000002-2-2-2-22220000002-2-2200−222−22−2−22−222−22−2−2200000000
χ432-2-2-2-2222000000-222-2002−2−22−222−2−222−22−2−22000000002-2-2-2-2222000000-222-2002−2−22−222−2−222−22−2−2200000000
χ442-2-2-2-2222000000-222-200−222−22−2−222−2−22−222−2000000002-2-2-2-2222000000-222-200−222−22−2−222−2−22−222−200000000
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
χ491111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ501111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
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
χ5311-11-11-1-11-1ii−i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i-1-11-11-111-11−i−iii−i−iii-11-1-1-1-11111−i−i−i−iiiii-11−ii-11−ii
χ5411-11-11-1-11-1ii−i−iii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii-1-11-11-111-11−i−iii−i−iii-11-1-1-1-11111−i−i−i−iiiii1-1i−i1-1i−i
χ5511-11-11-1-11-1ii−i−iii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i-11−ii-1-11-11-111-11−i−iii−i−iii-111111-1-1-1-1iiii−i−i−i−i-11−ii1-1i−i
χ5611-11-11-1-11-1ii−i−iii−i−i1-1-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−i-1-11-11-111-11−i−iii−i−iii-111111-1-1-1-1iiii−i−i−i−i1-1i−i-11−ii
χ5711-11-11-1-11-1−i−iii−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii-1-11-11-111-11ii−i−iii−i−i-11-1-1-1-11111iiii−i−i−i−i-11i−i-11i−i
χ5811-11-11-1-11-1−i−iii−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i-1-11-11-111-11ii−i−iii−i−i-11-1-1-1-11111iiii−i−i−i−i1-1−ii1-1−ii
χ5911-11-11-1-11-1−i−iii−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i-1-11-11-111-11ii−i−iii−i−i-111111-1-1-1-1−i−i−i−iiiii-11i−i1-1−ii
χ6011-11-11-1-11-1−i−iii−i−iii1-1-1-1-1-11111iiii−i−i−i−i-11i−i1-1−ii-1-11-11-111-11ii−i−iii−i−i-111111-1-1-1-1−i−i−i−iiiii1-1−ii-11i−i
χ6122222222-2-22222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-222-2-2-2-2222222000000000000000000000000
χ6222222222-2-2-2-2-2-22222-2-2000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-222000000000000000000000000
χ63222-2-2-2-22002i−2i2i−2i000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000-2-2-22222-200−2i2i−2i2i000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000
χ64222-2-2-2-22002i−2i2i−2i000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000-2-2-22222-200−2i2i−2i2i000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000
χ65222-2-2-2-2200−2i2i−2i2i000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000-2-2-22222-2002i−2i2i−2i000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000
χ66222-2-2-2-2200−2i2i−2i2i000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000-2-2-22222-2002i−2i2i−2i000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000
χ6722-22-22-2-2-222i2i−2i−2i−2i−2i2i2i-22000000000000000000000000-2-22-22-2222-2−2i−2i2i2i2i2i−2i−2i2-2000000000000000000000000
χ6822-22-22-2-2-22−2i−2i2i2i2i2i−2i−2i-22000000000000000000000000-2-22-22-2222-22i2i−2i−2i−2i−2i2i2i2-2000000000000000000000000
χ6922-2-22-22-2002-2-22000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000-2-222-22-2200-222-2000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000
χ7022-2-22-22-2002-2-22000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i200000000-2-222-22-2200-222-2000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i200000000
χ7122-2-22-22-200-222-2000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000-2-222-22-22002-2-22000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000
χ7222-2-22-22-200-222-2000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i200000000-2-222-22-22002-2-22000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i200000000
χ732-222-2-22-22-200000000-222i−2i2i−2i2i−2i2i−2i0000000000000000-22-2-222-22-22000000002-2−2i2i−2i2i−2i2i−2i2i0000000000000000
χ742-222-2-22-22-200000000-22−2i2i−2i2i−2i2i−2i2i0000000000000000-22-2-222-22-22000000002-22i−2i2i−2i2i−2i2i−2i0000000000000000
χ752-222-2-22-2-22000000002-2000000002i−2i2i−2i2i−2i2i−2i00000000-22-2-222-222-200000000-2200000000−2i2i−2i2i−2i2i−2i2i00000000
χ762-222-2-22-2-22000000002-200000000−2i2i−2i2i−2i2i−2i2i00000000-22-2-222-222-200000000-22000000002i−2i2i−2i2i−2i2i−2i00000000
χ772-22-222-2-20000002i−2i2i−2i002−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000-22-22-2-222000000−2i2i−2i2i00−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000
χ782-22-222-2-20000002i−2i2i−2i00−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000-22-22-2-222000000−2i2i−2i2i002−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000
χ792-22-222-2-2000000−2i2i−2i2i002−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000-22-22-2-2220000002i−2i2i−2i00−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000
χ802-22-222-2-2000000−2i2i−2i2i00−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000-22-22-2-2220000002i−2i2i−2i002−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000
χ812-2-222-2-222200000000-2-22i−2i2i−2i−2i2i−2i2i0000000000000000-222-2-222-2-2-20000000022−2i2i−2i2i2i−2i2i−2i0000000000000000
χ822-2-222-2-222200000000-2-2−2i2i−2i2i2i−2i2i−2i0000000000000000-222-2-222-2-2-200000000222i−2i2i−2i−2i2i−2i2i0000000000000000
χ832-2-222-2-22-2-20000000022000000002-22-2-22-2200000000-222-2-222-22200000000-2-200000000-22-222-22-200000000
χ842-2-222-2-22-2-2000000002200000000-22-222-22-200000000-222-2-222-22200000000-2-2000000002-22-2-22-2200000000
χ852-2-2-2-22220000002-2-22002−2−22−222−22−2−22−222−200000000-22222-2-2-2000000-222-200−222−22−2−22−222−22−2−2200000000
χ862-2-2-2-22220000002-2-2200−222−22−2−22−222−22−2−2200000000-22222-2-2-2000000-222-2002−2−22−222−22−2−22−222−200000000
χ872-2-2-2-2222000000-222-2002−2−22−222−2−222−22−2−2200000000-22222-2-2-20000002-2-2200−222−22−2−222−2−22−222−200000000
χ882-2-2-2-2222000000-222-200−222−22−2−222−2−22−222−200000000-22222-2-2-20000002-2-22002−2−22−222−2−222−22−2−2200000000

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