Finite Group Databasebeta

← Group #72271473

Character table — Group #72271473

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222222222224444444444444444444444444444888888888888888888888888888888888888888888888816161616161616161616161616161616323232323232323232323232323232323232323232323232484848484848484848484848484848489696969696969696
order1222222222366666662222222222222222666666666666222222222244446666666666666666666666666666666644441212121212121212121212124444444412121212121212121212121212121212224444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91-1-111-1-111-11-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-1ii−i−i1-111-1-1ii−i−i11-1-1ii−i−i
χ101-1-111-1-111-11-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-11−i−iii-11-1-111−i−iii-1-111−i−iii
χ111-1-111-1-111-11-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-1−i−iii1-111-1-1−i−iii11-1-1−i−iii
χ121-1-111-1-111-11-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111111-1-1-1-1-111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-11ii−i−i-11-1-111ii−i−i-1-111ii−i−i
χ131-1-111-1-111-11-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-1-11111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1-1ii−i−i1-111-1-1ii−i−i-1-111−i−iii
χ141-1-111-1-111-11-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-1-11111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-11−i−iii-11-1-111−i−iii11-1-1ii−i−i
χ151-1-111-1-111-11-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-1-11111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1−i−iii1-111-1-1−i−iii-1-111ii−i−i
χ161-1-111-1-111-11-1-1-1-1111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11-1-1-1-11111-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-11ii−i−i-11-1-111ii−i−i11-1-1−i−iii
χ172222222222222222222222-2-22222-2-22222222222222222-222222222-2-2-2-2-22222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ182222222222222222222222-2-22222-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222000000000000000000000000000000000000000000000000
χ1922222222222222222222-2-22222-2-222-2-2-2-22222222222222000000002-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022220000-2-2-2-2000000002-22-2000022-2-222-2-200000000000000000000000000000000
χ2022222222222222222222-2-22222-2-222-2-2-2-22222222222222000000002-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000022220000-2-2-2-200000000-22-220000-2-222-2-22200000000000000000000000000000000
χ2122222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2222222222222-200000000-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-2000022220000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ2222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2222222222222-200000000-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-2-2-200002222000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ23222222222222222222-2-22222-2-2-2-222-2-22222-2-2-2-222-2-2-2-2-200000000-22-22-222-2-222-2-222-2-2000000000000000022-2-200002-22-200000000000000000000000000000000002222000000-2-2-2-200000000
χ24222222222222222222-2-22222-2-2-2-222-2-22222-2-2-2-222-2-2-2-2-200000000-22-22-222-2-222-2-222-2-2000000000000000022-2-200002-22-20000000000000000000000000000000000-2-2-2-2000000222200000000
χ25222222222222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22000000002-22-2222-2-2-2-22222-2-20000000000000000-2-2220000-22-2200000000000000000000000000000000000000000000000000002-22-2
χ26222222222222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22000000002-22-2222-2-2-2-22222-2-20000000000000000-2-2220000-22-220000000000000000000000000000000000000000000000000000-22-22
χ27222222222222222222-2-2-2-222-2-2222222-2-222-2-2-2-222-2-2-2-2-200000000-2-22-22-2-22222-2-2-2-222000000000000000022-2-20000-22-220000000000000000000000000000000022000022-2-2-2-2000000000000
χ28222222222222222222-2-2-2-222-2-2222222-2-222-2-2-2-222-2-2-2-2-200000000-2-22-22-2-22222-2-2-2-222000000000000000022-2-20000-22-2200000000000000000000000000000000-2-20000-2-22222000000000000
χ29222222222222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-222-2-2-2-220000000022-22-2-2-222-2-222-2-2220000000000000000-2-22200002-22-20000000000000000000000000000000000000000000000002-22-20000
χ30222222222222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-222-2-2-2-220000000022-22-2-2-222-2-222-2-2220000000000000000-2-22200002-22-2000000000000000000000000000000000000000000000000-22-220000
χ312222222222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ322222222222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ332222222222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-2-2-2-2-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ342222222222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-2-2-2-222222-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ352222222222-1-1-1-1-1-1-1-12222-2-22222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-222222222-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111000000003−33−33−33−33−33−33−33−3000000000000000000000000
χ362222222222-1-1-1-1-1-1-1-12222-2-22222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-222222222-2-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-211111111111100000000−33−33−33−33−33−33−33−33000000000000000000000000
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χ382222222222-1-1-1-1-1-1-1-12222-2-22222-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-11111-1-1-1-11111111111111111111122221111-1-1-1-1-1-1-1-100000000−33−33−33−333−33−33−33−3000000000000000000000000
χ392222222222-1-1-1-1-1-1-1-122-2-22222-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12000000002-2-2-2-21111-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-1-1-1-100001111−i3−i3i3i3−i3−i3i3i32-22-20000-1-111-1-111−i3i3i3−i3−i3i3i3−i3000000000000000000000000
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χ442222222222-1-1-1-1-1-1-1-122-2-2-2-222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-200000000-22222111111111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311110000-1-1-1-1i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i−333−3−333−3ii−i−iii−i−i000000000000000000000000
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χ472-2-222-2-222-22-2-2-2-22222222-2-2-2-2-2-22222-2-2222222-2-2-2-2-2-2-22222-2-2-2-22-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-222-2-222-2-2-2-22222000000000000000000000000000000000000000000000000
χ482-2-222-2-222-22-2-2-2-22222222-2-2-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2-2-2-222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-2-2-2222222-2-2-2-2000000000000000000000000000000000000000000000000
χ492-2-222-2-222-22-2-2-2-222222-2-222-2-222-2-2-2-222222222-2-2-2-2-2-2200000000-2-2-222-2-2-2-2222222220000000000000000-2-2-2-20000-2-222000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ502-2-222-2-222-22-2-2-2-222222-2-222-2-222-2-2-2-222222222-2-2-2-2-2-2200000000-2-2-222-2-2-2-2222222220000000000000000-2-2-2-20000-2-22200000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
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χ552-2-222-2-222-22-2-2-2-2222-2-222-2-2222222-2-2-2-222-2-2-2-2-2-22222200000000-2-222-222-2-2-2-222-2-222000000000000000022-2-20000-222-200000000000000000000000000000000000000000000000000002i−2i−2i2i
χ562-2-222-2-222-22-2-2-2-2222-2-222-2-2222222-2-2-2-222-2-2-2-2-2-22222200000000-2-222-222-2-2-2-222-2-222000000000000000022-2-20000-222-20000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ572-2-222-2-222-22-2-2-2-2222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-22222-2000000002-222-2-2-22222-2-222-2-20000000000000000-2-2220000-222-2000000000000000000000000000000002-200002-2-2-222000000000000
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Here i is the imaginary unit (i² = −1).