Finite Group Databasebeta

← Group #10877165

Character table — Group #10877165

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222222244444444444444444444444444444444888888888888888888888888242424242424242448484848
order1222222222344446666666666666668888448888881212121212121212242424242424242424242424242424244444444412121212121212121212121212121212244488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1-1-1111-11-1
χ10111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-1-11-11
χ11111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-1-111-11-11
χ12111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-1111-1-11-11-1
χ13111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-111-1-11-1-11
χ14111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-111-111-1
χ15111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-111-1-1-111-1
χ16111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1111-1-11
χ1722222222222-2-2-2-22222222222222220000-2-2000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i0000
χ1822222222222-2-2-2-22222222222222220000-2-2000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ192222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ202222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ212222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ23222222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-222000022000000-2-2-22222-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ24222222-2-2-2-22-2-2-2-222222-2-2-2-2-2-2-2-222000022000000-2-2-22222-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ25222222-2-2-2-2-12222-1-1-1-1-111111111-1-12222-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000
χ26222222-2-2-2-2-12222-1-1-1-1-111111111-1-12222-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000
χ27222222-2-2-2-2-12222-1-1-1-1-111111111-1-1-2-2-2-2-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000
χ28222222-2-2-2-2-12222-1-1-1-1-111111111-1-1-2-2-2-2-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000
χ292222-2-222-2-2222-2-22-2-2-2-22222-2-2-2-22222222-2-2-222-2-22-2-222-2-222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ302222-2-222-2-2222-2-22-2-2-2-22222-2-2-2-222-2-2-2-22-222-2-2222-2-222-2-22-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ312222-2-222-2-22-2-2222-2-2-2-22222-2-2-2-2220000-22000000-222-2-222-2000000000000000000000000000000000000000022-2-200000000
χ322222-2-222-2-22-2-2222-2-2-2-22222-2-2-2-2220000-22000000-222-2-222-20000000000000000000000000000000000000000-2-22200000000
χ332222-2-222-2-2-122-2-2-11111-1-1-1-11111-1-122222-2-2-222-2-2-111-1-111-1-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ342222-2-222-2-2-122-2-2-11111-1-1-1-11111-1-122222-2-2-222-2-2-111-1-111-1-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ352222-2-222-2-2-122-2-2-11111-1-1-1-11111-1-1-2-2-2-22-222-2-222-111-1-111-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ362222-2-222-2-2-122-2-2-11111-1-1-1-11111-1-1-2-2-2-22-222-2-222-111-1-111-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ372222-2-2-2-222222-2-22-2-2-2-2-2-2-2-22222222222-22-2-2-2-2222-2-2-2-22222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ382222-2-2-2-222222-2-22-2-2-2-2-2-2-2-2222222-2-2-2-2-222222-2-22-2-2-2-2222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ392222-2-2-2-2222-2-2222-2-2-2-2-2-2-2-222222200002-2000000-22222-2-2-200000000000000000000000000000000000000002-2-2200000000
χ402222-2-2-2-2222-2-2222-2-2-2-2-2-2-2-222222200002-2000000-22222-2-2-20000000000000000000000000000000000000000-222-200000000
χ412222-2-2-2-222-122-2-2-111111111-1-1-1-1-1-12222-22-2-2-2-222-11111-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ422222-2-2-2-222-122-2-2-111111111-1-1-1-1-1-12222-22-2-2-2-222-11111-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ432222-2-2-2-222-122-2-2-111111111-1-1-1-1-1-1-2-2-2-2-222222-2-2-11111-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ442222-2-2-2-222-122-2-2-111111111-1-1-1-1-1-1-2-2-2-2-222222-2-2-11111-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ452-22-22-200002-222-2-222-2-2000000002-222-2-2002-20000-22-20000222-2-222-2-200000000002i−2i002i−2i00002i−2i2i−2i00002i−2i2i−2i000000000000
χ462-22-22-200002-222-2-222-2-2000000002-222-2-2002-20000-22-20000222-2-222-2-20000000000−2i2i00−2i2i0000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ472-22-22-200002-222-2-222-2-2000000002-2-2-22200-220000-22-200002-2-222-2-22200000000002i−2i00−2i2i00002i−2i2i−2i0000−2i2i−2i2i000000000000
χ482-22-22-200002-222-2-222-2-2000000002-2-2-22200-220000-22-200002-2-222-2-2220000000000−2i2i002i−2i0000−2i2i−2i2i00002i−2i2i−2i000000000000
χ492-22-22-20000-1-222-21-1-111−i3−i3i3i3−i3−i3i3i3-1122-2-2002-200001-11−i3i3−i3i3-1-1-111-1-111−i3−i3i3i3−i3−i3i3i3002i−2i002i−2i3−33−3−ii−ii3−33−3−ii−ii000000000000
χ502-22-22-20000-1-222-21-1-111−i3−i3i3i3−i3−i3i3i3-1122-2-2002-200001-11−i3i3−i3i3-1-1-111-1-111−i3−i3i3i3−i3−i3i3i300−2i2i00−2i2i−33−33i−ii−i−33−33i−ii−i000000000000
χ512-22-22-20000-1-222-21-1-111−i3−i3i3i3−i3−i3i3i3-11-2-22200-2200001-11−i3i3−i3i3-111-1-111-1-1i3i3−i3−i3i3i3−i3−i3002i−2i00−2i2i3−33−3−ii−ii−33−33i−ii−i000000000000
χ522-22-22-20000-1-222-21-1-111−i3−i3i3i3−i3−i3i3i3-11-2-22200-2200001-11−i3i3−i3i3-111-1-111-1-1i3i3−i3−i3i3i3−i3−i300−2i2i002i−2i−33−33i−ii−i3−33−3−ii−ii000000000000
χ532-22-22-20000-1-222-21-1-111i3i3−i3−i3i3i3−i3−i3-1122-2-2002-200001-11i3−i3i3−i3-1-1-111-1-111i3i3−i3−i3i3i3−i3−i3002i−2i002i−2i−33−33−ii−ii−33−33−ii−ii000000000000
χ542-22-22-20000-1-222-21-1-111i3i3−i3−i3i3i3−i3−i3-1122-2-2002-200001-11i3−i3i3−i3-1-1-111-1-111i3i3−i3−i3i3i3−i3−i300−2i2i00−2i2i3−33−3i−ii−i3−33−3i−ii−i000000000000
χ552-22-22-20000-1-222-21-1-111i3i3−i3−i3i3i3−i3−i3-11-2-22200-2200001-11i3−i3i3−i3-111-1-111-1-1−i3−i3i3i3−i3−i3i3i3002i−2i00−2i2i−33−33−ii−ii3−33−3i−ii−i000000000000
χ562-22-22-20000-1-222-21-1-111i3i3−i3−i3i3i3−i3−i3-11-2-22200-2200001-11i3−i3i3−i3-111-1-111-1-1−i3−i3i3i3−i3−i3i3i300−2i2i002i−2i3−33−3i−ii−i−33−33−ii−ii000000000000
χ572-22-2-2200002-22-22-2-2-222000000002-222-2-200-220000-2-220000222-2-2-2-222000000002i−2i002i−2i002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ582-22-2-2200002-22-22-2-2-222000000002-222-2-200-220000-2-220000222-2-2-2-22200000000−2i2i00−2i2i00−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ592-22-2-2200002-22-22-2-2-222000000002-2-2-222002-20000-2-2200002-2-22222-2-2000000002i−2i00−2i2i002i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ602-22-2-2200002-22-22-2-2-222000000002-2-2-222002-20000-2-2200002-2-22222-2-200000000−2i2i002i−2i00−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ612-22-2-220000-1-22-22111-1-1−i3−i3i3i3i3i3−i3−i3-1122-2-200-22000011-1−i3i3i3−i3-1-1-11111-1-1−i3−i3i3i3i3i3−i3−i32i−2i002i−2i00−iii−i3−3−33−iii−i3−3−33000000000000
χ622-22-2-220000-1-22-22111-1-1−i3−i3i3i3i3i3−i3−i3-1122-2-200-22000011-1−i3i3i3−i3-1-1-11111-1-1−i3−i3i3i3i3i3−i3−i3−2i2i00−2i2i00i−i−ii−333−3i−i−ii−333−3000000000000
χ632-22-2-220000-1-22-22111-1-1−i3−i3i3i3i3i3−i3−i3-11-2-222002-2000011-1−i3i3i3−i3-111-1-1-1-111i3i3−i3−i3−i3−i3i3i32i−2i00−2i2i00−iii−i3−3−33i−i−ii−333−3000000000000
χ642-22-2-220000-1-22-22111-1-1−i3−i3i3i3i3i3−i3−i3-11-2-222002-2000011-1−i3i3i3−i3-111-1-1-1-111i3i3−i3−i3−i3−i3i3i3−2i2i002i−2i00i−i−ii−333−3−iii−i3−3−33000000000000
χ652-22-2-220000-1-22-22111-1-1i3i3−i3−i3−i3−i3i3i3-1122-2-200-22000011-1i3−i3−i3i3-1-1-11111-1-1i3i3−i3−i3−i3−i3i3i32i−2i002i−2i00−iii−i−333−3−iii−i−333−3000000000000
χ662-22-2-220000-1-22-22111-1-1i3i3−i3−i3−i3−i3i3i3-1122-2-200-22000011-1i3−i3−i3i3-1-1-11111-1-1i3i3−i3−i3−i3−i3i3i3−2i2i00−2i2i00i−i−ii3−3−33i−i−ii3−3−33000000000000
χ672-22-2-220000-1-22-22111-1-1i3i3−i3−i3−i3−i3i3i3-11-2-222002-2000011-1i3−i3−i3i3-111-1-1-1-111−i3−i3i3i3i3i3−i3−i32i−2i00−2i2i00−iii−i−333−3i−i−ii3−3−33000000000000
χ682-22-2-220000-1-22-22111-1-1i3i3−i3−i3−i3−i3i3i3-11-2-222002-2000011-1i3−i3−i3i3-111-1-1-1-111−i3−i3i3i3i3i3−i3−i3−2i2i002i−2i00i−i−ii3−3−33−iii−i−333−3000000000000
χ694444444444-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-4-4000000222222220000000000000000000000000000000000000000000000000000
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χ7644-4-4004-400-20000-2−2i32i3−2i32i3-22-22−2i32i3−2i32i322−2222−22220000−222200000000002−22−2−i6i6−i6i62−22−2−i6i6−i6i6000000000000000000000000000000000000
χ7744-4-4004-400-20000-22i3−2i32i3−2i3-22-222i3−2i32i3−2i32222−2222−22000022−220000000000−22−22−i6i6−i6i6−22−22−i6i6−i6i6000000000000000000000000000000000000
χ7844-4-4004-400-20000-22i3−2i32i3−2i3-22-222i3−2i32i3−2i322−2222−22220000−222200000000002−22−2i6−i6i6−i62−22−2i6−i6i6−i6000000000000000000000000000000000000
χ7944-4-400-44004000040000-44-440000-4-422−2222−220000−2222000000000022−2222−220000−2222−22220000000000000000000000000000000000000000
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χ8244-4-400-4400-20000-2−2i32i3−2i32i32-22-22i3−2i32i3−2i322−2222−2222000022−2200000000002−22−2−i6i6−i6i6−22−22i6−i6i6−i6000000000000000000000000000000000000
χ8344-4-400-4400-20000-22i3−2i32i3−2i32-22-2−2i32i3−2i32i32222−2222−220000−22220000000000−22−22−i6i6−i6i62−22−2i6−i6i6−i6000000000000000000000000000000000000
χ8444-4-400-4400-20000-22i3−2i32i3−2i32-22-2−2i32i3−2i32i322−2222−2222000022−2200000000002−22−2i6−i6i6−i6−22−22−i6i6−i6i6000000000000000000000000000000000000
χ854-44-44-4000044-4-44-444-4-4000000004-40000000000004-440000-40000000000000000000000000000000000000000000000000000
χ864-44-44-40000-24-4-442-2-222−2i3−2i32i32i3−2i3−2i32i32i3-22000000000000-22-22i3−2i32i3−2i320000000000000000000000000000000000000000000000000000
χ874-44-44-40000-24-4-442-2-2222i32i3−2i3−2i32i32i3−2i3−2i3-22000000000000-22-2−2i32i3−2i32i320000000000000000000000000000000000000000000000000000
χ884-44-4-44000044-44-4-4-4-444000000004-400000000000044-40000-40000000000000000000000000000000000000000000000000000
χ894-44-4-440000-24-44-4222-2-2−2i3−2i32i32i32i32i3−2i3−2i3-22000000000000-2-222i3−2i3−2i32i320000000000000000000000000000000000000000000000000000
χ904-44-4-440000-24-44-4222-2-22i32i3−2i3−2i3−2i3−2i32i32i3-22000000000000-2-22−2i32i32i3−2i320000000000000000000000000000000000000000000000000000
χ914-4-4400004-440000-4000000004-4-44-4422−22−222200000022−220000000022−22−222200000000−222222−22000000000000000000000000000000000000
χ924-4-4400004-440000-4000000004-4-44-44−222222−22000000−222200000000−222222−220000000022−22−2222000000000000000000000000000000000000
χ934-4-4400004-4-200002−2i32i32i3−2i3−2i32i32i3−2i3-222-22-222−22−222200000022−2200000000−222−2i6−i6−i6i6−i6i6i6−i62−2−22000000000000000000000000000000000000
χ944-4-4400004-4-200002−2i32i32i3−2i3−2i32i32i3−2i3-222-22-2−222222−22000000−2222000000002−2−22−i6i6i6−i6i6−i6−i6i6−222−2000000000000000000000000000000000000
χ954-4-4400004-4-2000022i3−2i3−2i32i32i3−2i3−2i32i3-222-22-222−22−222200000022−2200000000−222−2−i6i6i6−i6i6−i6−i6i62−2−22000000000000000000000000000000000000
χ964-4-4400004-4-2000022i3−2i3−2i32i32i3−2i3−2i32i3-222-22-2−222222−22000000−2222000000002−2−22i6−i6−i6i6−i6i6i6−i6−222−2000000000000000000000000000000000000
χ974-4-440000-4440000-400000000-444-4-4422−22−2222000000−22220000000022−22−22220000000022−22−2222000000000000000000000000000000000000
χ984-4-440000-4440000-400000000-444-4-44−222222−2200000022−2200000000−222222−2200000000−222222−22000000000000000000000000000000000000
χ994-4-440000-44-200002−2i32i32i3−2i32i3−2i3−2i32i32-2-222-222−22−2222000000−222200000000−222−2i6−i6−i6i6i6−i6−i6i6−222−2000000000000000000000000000000000000
χ1004-4-440000-44-200002−2i32i32i3−2i32i3−2i3−2i32i32-2-222-2−222222−2200000022−22000000002−2−22−i6i6i6−i6−i6i6i6−i62−2−22000000000000000000000000000000000000
χ1014-4-440000-44-2000022i3−2i3−2i32i3−2i32i32i3−2i32-2-222-222−22−2222000000−222200000000−222−2−i6i6i6−i6−i6i6i6−i6−222−2000000000000000000000000000000000000
χ1024-4-440000-44-2000022i3−2i3−2i32i3−2i32i32i3−2i32-2-222-2−222222−2200000022−22000000002−2−22i6−i6−i6i6i6−i6−i6i62−2−22000000000000000000000000000000000000

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