Finite Group Databasebeta

← Group #72252616

Character table — Group #72252616

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size11112222222222222222224444444444444444448888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616161632323232
order1222222222444444448888222222224444888888444444444444448888888816161616161616161616161616161616222244444444444444448816161616161616164444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111
χ711111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-111111111-1-1-1-1
χ91111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1
χ101111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-111
χ171-1-11-1-1111-111-1-1-1-11111-1-111-1-111-1-111-1-1111-1-1-11-111-1-1iiii−i−i−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1ii−i−i1-11-1ii−i−iii−i−i1-1ii−i−iii−i−i1-11-1
χ181-1-11-1-1111-111-1-1-1-11111-1-111-1-111-1-111-1-1111-1-1-11-111-1-1iiii−i−i−i−i11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11ii−i−i-11-11ii−i−iii−i−i1-1−i−iii−i−iii-11-11
χ191-1-11-1-1111-111-1-1-1-11111-1-111-1-111-1-111-1-1111-1-1-11-111-1-1−i−i−i−iiiii11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−i−iii-11-11−i−iii−i−iii1-1ii−i−iii−i−i-11-11
χ201-1-11-1-1111-111-1-1-1-11111-1-111-1-111-1-111-1-1111-1-1-11-111-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−i−iii1-11-1−i−iii−i−iii1-1−i−iii−i−iii1-11-1
χ211-1-11-1-1111-111-1-1-1-11111-1-111-1-1-1-11111-1-1111-1-1-1-11-1-111iiii−i−i−i−i11-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1-11-1−i−iii1-11-1ii−i−i−i−iii-11−i−iii−i−iii-11-11
χ221-1-11-1-1111-111-1-1-1-11111-1-111-1-1-1-11111-1-1111-1-1-1-11-1-111iiii−i−i−i−i11-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-11-11−i−iii-11-11ii−i−i−i−iii-11ii−i−iii−i−i1-11-1
χ231-1-11-1-1111-111-1-1-1-11111-1-111-1-1-1-11111-1-1111-1-1-1-11-1-111−i−i−i−iiiii11-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-11-11ii−i−i-11-11−i−iiiii−i−i-11−i−iii−i−iii1-11-1
χ241-1-11-1-1111-111-1-1-1-11111-1-111-1-1-1-11111-1-1111-1-1-1-11-1-111−i−i−i−iiiii11-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1-11-1ii−i−i1-11-1−i−iiiii−i−i-11ii−i−iii−i−i-11-11
χ251-1-11-1-1111-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-111iiii−i−i−i−i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11−i−iii1-1-11−i−iiiii−i−i-11ii−i−i−i−iii1-1-11
χ261-1-11-1-1111-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-111iiii−i−i−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1−i−iii-111-1−i−iiiii−i−i-11−i−iiiii−i−i-111-1
χ271-1-11-1-1111-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-111−i−i−i−iiiii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1ii−i−i-111-1ii−i−i−i−iii-11ii−i−i−i−iii-111-1
χ281-1-11-1-1111-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-11-1-1-111−i−i−i−iiiii-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11ii−i−i1-1-11ii−i−i−i−iii-11−i−iiiii−i−i1-1-11
χ291-1-11-1-1111-111-1-1-1-11111-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1iiii−i−i−i−i-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-11ii−i−i1-1-11−i−iii−i−iii1-1−i−iiiii−i−i-111-1
χ301-1-11-1-1111-111-1-1-1-11111-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1iiii−i−i−i−i-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1ii−i−i-111-1−i−iii−i−iii1-1ii−i−i−i−iii1-1-11
χ311-1-11-1-1111-111-1-1-1-11111-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1−i−i−i−iiiii-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1−i−iii-111-1ii−i−iii−i−i1-1−i−iiiii−i−i1-1-11
χ321-1-11-1-1111-111-1-1-1-11111-1-1-1-111-1-111-1-111111-1-1-1-1111-1-1−i−i−i−iiiii-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−i−iii1-1-11ii−i−iii−i−i1-1ii−i−i−i−iii-111-1
χ33222222222222222222-2-2-2-2222222222222-2-2-2-2-2-222222200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2000000000000
χ34222222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000000000000000000000000000000022000000000000
χ35222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-2-2-2000000002222-2-2-2-200000000000000000000000000000000000022000000000000
χ36222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000000022222222000000000000000000000000000000000000-2-2000000000000
χ372222222222-2-2-2-2-2-2-2-200002-22-222222-22-2000000-2-22-22-2000000000000000022−2−222−2−222−2−222−2−200000000000000000000002−22−22−22−20000
χ382222222222-2-2-2-2-2-2-2-200002-22-222222-22-2000000-2-22-22-20000000000000000−2−222−2−222−2−222−2−2220000000000000000000000−22−22−22−220000
χ392222222222-2-2-2-2-2-2-2-200002-22-2-2-2-2-22-22-200000022-22-22000000000000000022−2−222−2−222−2−222−2−20000000000000000000000−22−22−22−220000
χ402222222222-2-2-2-2-2-2-2-200002-22-2-2-2-2-22-22-200000022-22-220000000000000000−2−222−2−222−2−222−2−22200000000000000000000002−22−22−22−20000
χ412222222222-2-2-2-2-2-2-2-20000-22-222222-22-22000000-2-2-22-22000000000000000022−2−222−2−2−2−222−2−22200000000000000000000002−22−2−22−220000
χ422222222222-2-2-2-2-2-2-2-20000-22-222222-22-22000000-2-2-22-220000000000000000−2−222−2−22222−2−222−2−20000000000000000000000−22−222−22−20000
χ432222222222-2-2-2-2-2-2-2-20000-22-22-2-2-2-2-22-22000000222-22-2000000000000000022−2−222−2−2−2−222−2−2220000000000000000000000−22−222−22−20000
χ442222222222-2-2-2-2-2-2-2-20000-22-22-2-2-2-2-22-22000000222-22-20000000000000000−2−222−2−22222−2−222−2−200000000000000000000002−22−2−22−220000
χ4522222-2-22-2-22-222-2-2-22-2-2-2-200000000000022-222-20000002i2i−2i−2i2i2i−2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i0022000000-2-20000000000000000000000
χ4622222-2-22-2-22-222-2-2-22-2-2-2-200000000000022-222-20000002i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i−2i2i−2i2i−2i2i00-2-2000000220000000000000000000000
χ4722222-2-22-2-22-222-2-2-22-2-2-2-200000000000022-222-2000000−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i2i−2i2i−2i2i−2i00-2-2000000220000000000000000000000
χ4822222-2-22-2-22-222-2-2-22-2-2-2-200000000000022-222-2000000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i0022000000-2-20000000000000000000000
χ492222-22-2-22-2-222-22-2-22-2-2-2-20000000000002-222-220000002i−2i2i−2i2i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i0000000022000000-2-2000000000000000000000000
χ502222-22-2-22-2-222-22-2-22-2-2-2-20000000000002-222-220000002i−2i2i−2i2i−2i2i−2i00000000−2i2i−2i2i−2i2i−2i2i00000000-2-200000022000000000000000000000000
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χ522222-22-2-22-2-222-22-2-22-2-2-2-20000000000002-222-22000000−2i2i−2i2i−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i0000000022000000-2-2000000000000000000000000
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χ612-2-22222-2-2-2-2-2-222-22222-2-22-2-220000-222-22-2-2-2220000002i−2i−2i2i−2i2i2i−2i2-2-22000000000000000000000000000000002i−2i−2i2i000000000000000000
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χ642-2-22222-2-2-2-2-2-222-22222-2-2-222-200002-2-222-2-2-222000000−2i2i2i−2i2i−2i−2i2i-222-2000000000000000000000000000000002i−2i−2i2i000000000000000000
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χ752-2-22-22-22-222-2-2-222-22-2-22200000000000022-2-2-22000000-2-22222-2-200000000000000002-22-2-22-2200-220000002-20000000000000000000000
χ762-2-22-22-22-222-2-2-222-22-2-22200000000000022-2-2-22000000-2-22222-2-20000000000000000-22-222-22-2002-2000000-220000000000000000000000
χ772-2-22-2-2222-222-2-2-2-222-2-22222-2-222-2-222-2-2-2-2-22222-222-2-200000000-2-222-2-222000000000000000000000000000000000000-22000000000000
χ782-2-22-2-2222-222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-2-2222-22-2-22200000000-2-22222-2-20000000000000000000000000000000000002-2000000000000
χ792-2-22-2-2222-222-2-2-2-222-2-222-2-22222-2-2-2-222-2-2-22222-2-2-2220000000022-2-2-2-2220000000000000000000000000000000000002-2000000000000
χ802-2-22-2-2222-222-2-2-2-222-2-222-2-222-2-222-2-222-2-2-2222-2222-2-20000000022-2-222-2-2000000000000000000000000000000000000-22000000000000
χ812-2-22-2-2222-2-2-22222-2-200002-2-2222-2-22-2-22000000-222-2-220000000000000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ822-2-22-2-2222-2-2-22222-2-200002-2-2222-2-22-2-22000000-222-2-220000000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ832-2-22-2-2222-2-2-22222-2-200002-2-22-2-2222-2-220000002-2-222-20000000000000000i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ842-2-22-2-2222-2-2-22222-2-200002-2-22-2-2222-2-220000002-2-222-20000000000000000−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ852-2-22-2-2222-2-2-22222-2-20000-222-222-2-2-222-2000000-22-222-20000000000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ862-2-22-2-2222-2-2-22222-2-20000-222-222-2-2-222-2000000-22-222-20000000000000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ872-2-22-2-2222-2-2-22222-2-20000-222-2-2-222-222-20000002-22-2-220000000000000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i20000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ882-2-22-2-2222-2-2-22222-2-20000-222-2-2-222-222-20000002-22-2-220000000000000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ8944444-4-44-4-44-444-4-4-444444000000000000-4-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9044444-4-44-4-4-44-4-4444-400000000000000000000000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ9144444-4-44-4-4-44-4-4444-40000000000000000000000000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ924444-44-4-44-44-4-44-444-4000000000000000000000000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000
χ934444-44-4-44-44-4-44-444-400000000000000000000000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000
χ944444-44-4-44-4-444-44-4-444444000000000000-44-4-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ954444-4-44-4-4444-444-4-4-4000044440000-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ964444-4-44-4-4444-444-4-4-40000-4-4-4-400004444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-44444-4-4-4444-4-44-4-4000044-4-40000-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-44444-4-4-4444-4-44-4-40000-4-444000044-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-4-4-4444-44-44-44-40000000000000000000000000000000000000000000022−22−2222−222222−22000000000000000000000000000000000000000000
χ1004-4-444-4-4-4444-44-44-44-400000000000000000000000000000000000000000000−222222−2222−22−2222000000000000000000000000000000000000000000
χ1014-4-444-4-4-444-44-44-44-4444-4-4000000000000-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-44-44-444-4-4-444-4444-4-4000000000000-4-4444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-44-44-44-4444-4-44-4000000000000000000000000000000000000000000000000000022−22−2222−222222−220000000000000000000000000000000000
χ1044-4-44-44-44-44-4444-4-44-40000000000000000000000000000000000000000000000000000−222222−2222−22−22220000000000000000000000000000000000
χ10588-8-8000000000000004i2−4i24i2−4i200004-44-400000000000000000000000000002i2−2i22i2−2i200000000000000000000000000000000000000000000000000
χ10688-8-8000000000000004i2−4i24i2−4i20000-44-440000000000000000000000000000−2i22i2−2i22i200000000000000000000000000000000000000000000000000
χ10788-8-800000000000000−4i24i2−4i24i200004-44-40000000000000000000000000000−2i22i2−2i22i200000000000000000000000000000000000000000000000000
χ10888-8-800000000000000−4i24i2−4i24i20000-44-4400000000000000000000000000002i2−2i22i2−2i200000000000000000000000000000000000000000000000000
χ1098-88-8000000000000004i2−4i2−4i24i200004-4-4400000000000000000000000000002i2−2i2−2i22i200000000000000000000000000000000000000000000000000
χ1108-88-8000000000000004i2−4i2−4i24i20000-444-40000000000000000000000000000−2i22i22i2−2i200000000000000000000000000000000000000000000000000
χ1118-88-800000000000000−4i24i24i2−4i200004-4-440000000000000000000000000000−2i22i22i2−2i200000000000000000000000000000000000000000000000000
χ1128-88-800000000000000−4i24i24i2−4i20000-444-400000000000000000000000000002i2−2i2−2i22i200000000000000000000000000000000000000000000000000

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