Finite Group Databasebeta

← Group #11792237

Character table — Group #11792237

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222222222444444444444444488888888888824242424242424241111222222222222224444444444444444888888888888242424242424242411112222222222222244444444444444448888888888882424242424242424
order12222234444666121212124444661212121212121212121224668812122424242422244488366666312121212666121212121212121266121212121212121212126126624241212242424246661212122424366666312121212666121212121212121266121212121212121212126126624241212242424246661212122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
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χ12222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211111100000000222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211111100000000222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211111100000000
χ13222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-2-2-1-1111100000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-2-2-1-1111100000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-2-2-1-1111100000000
χ14222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2112211-1-1-1-100000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2112211-1-1-1-100000000222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2112211-1-1-1-100000000
χ152222-2-222-22-222222220000-2-2-2-200000000000000000000002-200002222-2-222-22-222222220000-2-2-2-200000000000000000000002-200002222-2-222-22-222222220000-2-2-2-200000000000000000000002-20000
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χ172222-2-22-22-22222-2-2-2-20000-2-222000000002-22200-2-20000000000002222-2-22-22-22222-2-2-2-20000-2-222000000002-22200-2-20000000000002222-2-22-22-22222-2-2-2-20000-2-222000000002-22200-2-2000000000000
χ182222-2-22-22-22222-2-2-2-20000-2-22200000000-22-2-200220000000000002222-2-22-22-22222-2-2-2-20000-2-22200000000-22-2-200220000000000002222-2-22-22-22222-2-2-2-20000-2-22200000000-22-2-20022000000000000
χ192222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−32-2-1-1001133−3−3000000002222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−32-2-1-1001133−3−3000000002222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−32-2-1-1001133−3−300000000
χ202222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−3-221100-1-1−3−333000000002222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−3-221100-1-1−3−333000000002222-2-2-1-22-22-1-1-11111000011-1-13333−3−3−3−3-221100-1-1−3−33300000000
χ212222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−333332-2-1-10011−3−333000000002222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−333332-2-1-10011−3−333000000002222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−333332-2-1-10011−3−33300000000
χ222222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−33333-221100-1-133−3−3000000002222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−33333-221100-1-133−3−3000000002222-2-2-1-22-22-1-1-11111000011-1-1−3−3−3−33333-221100-1-133−3−300000000
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χ252-22-22-22-2-222-2-22-2-22200002-2-22000000000000000000002-20000002-22-22-22-2-222-2-22-2-22200002-2-22000000000000000000002-20000002-22-22-22-2-222-2-22-2-22200002-2-22000000000000000000002-2000000
χ262-22-22-22-2-222-2-22-2-22200002-2-2200000000000000000000-220000002-22-22-22-2-222-2-22-2-22200002-2-2200000000000000000000-220000002-22-22-22-2-222-2-22-2-22200002-2-2200000000000000000000-22000000
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χ292-22-22-2-122-2-211-1-1-111−2i−2i2i2i-11-11ii−i−iii−i−i00−i3i300−i3i3−33−33000000002-22-22-2-122-2-211-1-1-111−2i−2i2i2i-11-11ii−i−iii−i−i00−i3i300−i3i3−33−33000000002-22-22-2-122-2-211-1-1-111−2i−2i2i2i-11-11ii−i−iii−i−i00−i3i300−i3i3−33−3300000000
χ302-22-22-2-122-2-211-1-1-111−2i−2i2i2i-11-11ii−i−iii−i−i00i3−i300i3−i33−33−3000000002-22-22-2-122-2-211-1-1-111−2i−2i2i2i-11-11ii−i−iii−i−i00i3−i300i3−i33−33−3000000002-22-22-2-122-2-211-1-1-111−2i−2i2i2i-11-11ii−i−iii−i−i00i3−i300i3−i33−33−300000000
χ312-22-2-2222-2-22-2-2222-2-20000-22-22000000000000000000000000002-22-22-2-2222-2-22-2-2222-2-20000-22-22000000000000000000000000002-22-22-2-2222-2-22-2-2222-2-20000-22-22000000000000000000000000002-2
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χ332-22-2-222-222-2-2-22-2-2220000-222-20000000000002-2002-2-22000000002-22-2-222-222-2-2-22-2-2220000-222-20000000000002-2002-2-22000000002-22-2-222-222-2-2-22-2-2220000-222-20000000000002-2002-2-2200000000
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χ352-22-2-22-1-222-211-111-1-100001-1-11−i3−i3i3i3i3i3−i3−i300−i3i32-2i3−i3-111-1000000002-22-2-22-1-222-211-111-1-100001-1-11−i3−i3i3i3i3i3−i3−i300−i3i32-2i3−i3-111-1000000002-22-2-22-1-222-211-111-1-100001-1-11−i3−i3i3i3i3i3−i3−i300−i3i32-2i3−i3-111-100000000
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χ115111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ116111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1172222222-2-2-2-2222-2-2-2-2000022-2-20000000000000000000000002-200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i3000000000000000000000000−1−i31+i300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i3000000000000000000000000−1+i31−i300
χ1182222222-2-2-2-2222-2-2-2-2000022-2-2000000000000000000000000-2200−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i30000000000000000000000001+i3−1−i300−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i30000000000000000000000001−i3−1+i300
χ119222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200000000
χ120222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200000000
χ121222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-1-1-2-2-1-1111100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3−1−i31+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3−1+i31−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i3200000000
χ122222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2112211-1-1-1-100000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i31+i31+i31+i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i32−1−i321+i321+i321+i321+i3200000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i31−i31−i31−i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i32−1+i321−i321−i321−i321−i3200000000
χ1232222-2-222-22-222222220000-2-2-2-200000000000000000000002-20000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i30000000000000000000000−1−i31+i30000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i30000000000000000000000−1+i31−i30000
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χ1252222-2-22-22-22222-2-2-2-20000-2-222000000002-22200-2-2000000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i31+i3−1−i3−1−i300000000−1−i31+i3−1−i3−1−i3001+i31+i3000000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i31−i3−1+i3−1+i300000000−1+i31−i3−1+i3−1+i3001−i31−i3000000000000
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χ1594-4-4400-200002-2223−23−23232-2-220000−1−31+31+3−1−3−1+31−31−3−1+300000000000000000000−2−2i32+2i32+2i3−2−2i3001+i30000−1−i31+i3−1−i34ζ7+2ζ11−4ζ7−2ζ11−4ζ7−2ζ114ζ7+2ζ11−1−i31+i31+i3−1−i30000ζ2−2ζ7−ζ11−ζ2+2ζ7+ζ11−ζ2+2ζ7+ζ11ζ2−2ζ7−ζ11ζ2+2ζ7+ζ11−ζ2−2ζ7−ζ11−ζ2−2ζ7−ζ11ζ2+2ζ7+ζ1100000000000000000000−2+2i32−2i32−2i3−2+2i3001−i30000−1+i31−i3−1+i3−2ζ7−4ζ112ζ7+4ζ112ζ7+4ζ11−2ζ7−4ζ11−1+i31−i31−i3−1+i30000ζ7+ζ10+2ζ11−ζ7−ζ10−2ζ11−ζ7−ζ10−2ζ11ζ7+ζ10+2ζ11−ζ7+ζ10−2ζ11ζ7−ζ10+2ζ11ζ7−ζ10+2ζ11−ζ7+ζ10−2ζ1100000000000000000000
χ1604-4-4400-200002-2223−23−2323-222-200001+3−1−3−1−31+31−3−1+3−1+31−300000000000000000000−2−2i32+2i32+2i3−2−2i3001+i30000−1−i31+i3−1−i34ζ7+2ζ11−4ζ7−2ζ11−4ζ7−2ζ114ζ7+2ζ111+i3−1−i3−1−i31+i30000−ζ2+2ζ7+ζ11ζ2−2ζ7−ζ11ζ2−2ζ7−ζ11−ζ2+2ζ7+ζ11−ζ2−2ζ7−ζ11ζ2+2ζ7+ζ11ζ2+2ζ7+ζ11−ζ2−2ζ7−ζ1100000000000000000000−2+2i32−2i32−2i3−2+2i3001−i30000−1+i31−i3−1+i3−2ζ7−4ζ112ζ7+4ζ112ζ7+4ζ11−2ζ7−4ζ111−i3−1+i3−1+i31−i30000−ζ7−ζ10−2ζ11ζ7+ζ10+2ζ11ζ7+ζ10+2ζ11−ζ7−ζ10−2ζ11ζ7−ζ10+2ζ11−ζ7+ζ10−2ζ11−ζ7+ζ10−2ζ11ζ7−ζ10+2ζ1100000000000000000000
χ1614-4-4400-200002-22−232323−232-2-220000−1+31−31−3−1+3−1−31+31+3−1−300000000000000000000−2−2i32+2i32+2i3−2−2i3001+i30000−1−i31+i3−1−i3−4ζ7−2ζ114ζ7+2ζ114ζ7+2ζ11−4ζ7−2ζ11−1−i31+i31+i3−1−i30000ζ2+2ζ7+ζ11−ζ2−2ζ7−ζ11−ζ2−2ζ7−ζ11ζ2+2ζ7+ζ11ζ2−2ζ7−ζ11−ζ2+2ζ7+ζ11−ζ2+2ζ7+ζ11ζ2−2ζ7−ζ1100000000000000000000−2+2i32−2i32−2i3−2+2i3001−i30000−1+i31−i3−1+i32ζ7+4ζ11−2ζ7−4ζ11−2ζ7−4ζ112ζ7+4ζ11−1+i31−i31−i3−1+i30000−ζ7+ζ10−2ζ11ζ7−ζ10+2ζ11ζ7−ζ10+2ζ11−ζ7+ζ10−2ζ11ζ7+ζ10+2ζ11−ζ7−ζ10−2ζ11−ζ7−ζ10−2ζ11ζ7+ζ10+2ζ1100000000000000000000
χ1624-4-4400-200002-22−232323−23-222-200001−3−1+3−1+31−31+3−1−3−1−31+300000000000000000000−2−2i32+2i32+2i3−2−2i3001+i30000−1−i31+i3−1−i3−4ζ7−2ζ114ζ7+2ζ114ζ7+2ζ11−4ζ7−2ζ111+i3−1−i3−1−i31+i30000−ζ2−2ζ7−ζ11ζ2+2ζ7+ζ11ζ2+2ζ7+ζ11−ζ2−2ζ7−ζ11−ζ2+2ζ7+ζ11ζ2−2ζ7−ζ11ζ2−2ζ7−ζ11−ζ2+2ζ7+ζ1100000000000000000000−2+2i32−2i32−2i3−2+2i3001−i30000−1+i31−i3−1+i32ζ7+4ζ11−2ζ7−4ζ11−2ζ7−4ζ112ζ7+4ζ111−i3−1+i3−1+i31−i30000ζ7−ζ10+2ζ11−ζ7+ζ10−2ζ11−ζ7+ζ10−2ζ11ζ7−ζ10+2ζ11−ζ7−ζ10−2ζ11ζ7+ζ10+2ζ11ζ7+ζ10+2ζ11−ζ7−ζ10−2ζ1100000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.