Finite Group Databasebeta

← Group #13170481

Character table — Group #13170481

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11112222222222666622224444444444121212123333666666666618181818222244444444441212121244448888888888242424246666121212121212121212123636363633336666666666181818186666121212121212121212123636363699991818181818181818181854545454
order12442346661212121288883612126312666121212122424242422442646661212121288883612126312666121212122424242436121263126661212121224242424661212661266612121212242424242244264666121212128888661212661266612121212242424242244264666121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ31111-11-1-1-1111-1-111-1-11111-11-1-1-1111-1-111-1-11111-11-1-1-1111-1-111-1-11111-11-1-1-1111-1-111-1-11111-11-1-1-1111-1-111-1-11111-11-1-1-1111-1-111-1-11111-11-1-1-1111-1-111-1-11111-11-1-1-1111-1-111-1-11111-11-1-1-1111-1-111-1-1
χ41111-11-1-1-1111-1-1-1-1111111-11-1-1-1111-1-1-1-1111111-11-1-1-1111-1-1-1-1111111-11-1-1-1111-1-1-1-1111111-11-1-1-1111-1-1-1-1111111-11-1-1-1111-1-1-1-1111111-11-1-1-1111-1-1-1-1111111-11-1-1-1111-1-1-1-1111111-11-1-1-1111-1-1-1-111
χ511-1-111-1111-1-1-1-1i−ii−i11-1-111-1111-1-1-1-1i−ii−i11-1-111-1111-1-1-1-1i−ii−i11-1-111-1111-1-1-1-1i−ii−i11-1-111-1111-1-1-1-1i−ii−i11-1-111-1111-1-1-1-1i−ii−i11-1-111-1111-1-1-1-1i−ii−i11-1-111-1111-1-1-1-1i−ii−i11-1-111-1111-1-1-1-1i−ii−i
χ611-1-111-1111-1-1-1-1−ii−ii11-1-111-1111-1-1-1-1−ii−ii11-1-111-1111-1-1-1-1−ii−ii11-1-111-1111-1-1-1-1−ii−ii11-1-111-1111-1-1-1-1−ii−ii11-1-111-1111-1-1-1-1−ii−ii11-1-111-1111-1-1-1-1−ii−ii11-1-111-1111-1-1-1-1−ii−ii11-1-111-1111-1-1-1-1−ii−ii
χ711-1-1-111-1-11-1-111i−i−ii11-1-1-111-1-11-1-111i−i−ii11-1-1-111-1-11-1-111i−i−ii11-1-1-111-1-11-1-111i−i−ii11-1-1-111-1-11-1-111i−i−ii11-1-1-111-1-11-1-111i−i−ii11-1-1-111-1-11-1-111i−i−ii11-1-1-111-1-11-1-111i−i−ii11-1-1-111-1-11-1-111i−i−ii
χ811-1-1-111-1-11-1-111−iii−i11-1-1-111-1-11-1-111−iii−i11-1-1-111-1-11-1-111−iii−i11-1-1-111-1-11-1-111−iii−i11-1-1-111-1-11-1-111−iii−i11-1-1-111-1-11-1-111−iii−i11-1-1-111-1-11-1-111−iii−i11-1-1-111-1-11-1-111−iii−i11-1-1-111-1-11-1-111−iii−i
χ922222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-10000
χ102222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-11100002222-2-1-211-1-1-1110000
χ1122-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-111110000
χ1222-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-10000
χ132-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i0000002-22i−2i02000-22i−2i000000
χ142-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−300002-22i−2i0-10−i3i31−ii3−30000
χ152-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−3300002-22i−2i0-10i3−i31−ii−330000
χ162-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i0000002-2−2i2i02000-2−2i2i000000
χ172-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−330000
χ182-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−30000
χ19111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ211111-11-1-1-1111-1-111-1-11111-11-1-1-1111-1-111-1-1-1-1-1-11-1111-1-1-111-1-1111111-11-1-1-1111-1-111-1-11111-11-1-1-1111-1-111-1-1-1-1-1-11-1111-1-1-111-1-1111111-11-1-1-1111-1-111-1-11111-11-1-1-1111-1-111-1-1-1-1-1-11-1111-1-1-111-1-111
χ221111-11-1-1-1111-1-1-1-1111111-11-1-1-1111-1-1-1-111-1-1-1-11-1111-1-1-11111-1-11111-11-1-1-1111-1-1-1-1111111-11-1-1-1111-1-1-1-111-1-1-1-11-1111-1-1-11111-1-11111-11-1-1-1111-1-1-1-1111111-11-1-1-1111-1-1-1-111-1-1-1-11-1111-1-1-11111-1-1
χ2311-1-111-1111-1-1-1-1i−ii−i11-1-111-1111-1-1-1-1i−ii−i-1-111-1-11-1-1-11111−ii−ii11-1-111-1111-1-1-1-1i−ii−i11-1-111-1111-1-1-1-1i−ii−i-1-111-1-11-1-1-11111−ii−ii11-1-111-1111-1-1-1-1i−ii−i11-1-111-1111-1-1-1-1i−ii−i-1-111-1-11-1-1-11111−ii−ii
χ2411-1-111-1111-1-1-1-1−ii−ii11-1-111-1111-1-1-1-1−ii−ii-1-111-1-11-1-1-11111i−ii−i11-1-111-1111-1-1-1-1−ii−ii11-1-111-1111-1-1-1-1−ii−ii-1-111-1-11-1-1-11111i−ii−i11-1-111-1111-1-1-1-1−ii−ii11-1-111-1111-1-1-1-1−ii−ii-1-111-1-11-1-1-11111i−ii−i
χ2511-1-1-111-1-11-1-111i−i−ii11-1-1-111-1-11-1-111i−i−ii-1-1111-1-111-111-1-1−iii−i11-1-1-111-1-11-1-111i−i−ii11-1-1-111-1-11-1-111i−i−ii-1-1111-1-111-111-1-1−iii−i11-1-1-111-1-11-1-111i−i−ii11-1-1-111-1-11-1-111i−i−ii-1-1111-1-111-111-1-1−iii−i
χ2611-1-1-111-1-11-1-111−iii−i11-1-1-111-1-11-1-111−iii−i-1-1111-1-111-111-1-1i−i−ii11-1-1-111-1-11-1-111−iii−i11-1-1-111-1-11-1-111−iii−i-1-1111-1-111-111-1-1i−i−ii11-1-1-111-1-11-1-111−iii−i11-1-1-111-1-11-1-111−iii−i-1-1111-1-111-111-1-1i−i−ii
χ2722222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-10000-2-2-2-2-21-21111111000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-10000-2-2-2-2-21-21111111000022222-12-1-1-1-1-1-1-1000022222-12-1-1-1-1-1-1-10000-2-2-2-2-21-211111110000
χ282222-2-1-211-1-1-11100002222-2-1-211-1-1-1110000-2-2-2-2212-1-1111-1-100002222-2-1-211-1-1-11100002222-2-1-211-1-1-1110000-2-2-2-2212-1-1111-1-100002222-2-1-211-1-1-11100002222-2-1-211-1-1-1110000-2-2-2-2212-1-1111-1-10000
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χ3022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-10000-2-22221-2-1-11-1-111000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-10000-2-22221-2-1-11-1-111000022-2-2-2-1211-111-1-1000022-2-2-2-1211-111-1-10000-2-22221-2-1-11-1-1110000
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χ352-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−330000-222i−2i010i3−i3-1−ii3−300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−330000-222i−2i010i3−i3-1−ii3−300002-2−2i2i0-10−i3i31i−i−3300002-2−2i2i0-10−i3i31i−i−330000-222i−2i010i3−i3-1−ii3−30000
χ362-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−30000-222i−2i010−i3i3-1−ii−3300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−30000-222i−2i010−i3i3-1−ii−3300002-2−2i2i0-10i3−i31i−i3−300002-2−2i2i0-10i3−i31i−i3−30000-222i−2i010−i3i3-1−ii−330000
χ37222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3822222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000000022222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000000022222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000
χ392222-22-2-2-2222-2-222-2-2-1-1-1-11-1111-1-1-111-1-1110000000000000000002222-22-2-2-2222-2-222-2-2-1-1-1-11-1111-1-1-111-1-1110000000000000000002222-22-2-2-2222-2-222-2-2-1-1-1-11-1111-1-1-111-1-111000000000000000000
χ402222-22-2-2-2222-2-2-2-222-1-1-1-11-1111-1-1-11111-1-10000000000000000002222-22-2-2-2222-2-2-2-222-1-1-1-11-1111-1-1-11111-1-10000000000000000002222-22-2-2-2222-2-2-2-222-1-1-1-11-1111-1-1-11111-1-1000000000000000000
χ4122-2-222-2222-2-2-2-22i−2i2i−2i-1-111-1-11-1-1-11111−ii−ii00000000000000000022-2-222-2222-2-2-2-22i−2i2i−2i-1-111-1-11-1-1-11111−ii−ii00000000000000000022-2-222-2222-2-2-2-22i−2i2i−2i-1-111-1-11-1-1-11111−ii−ii000000000000000000
χ4222-2-222-2222-2-2-2-2−2i2i−2i2i-1-111-1-11-1-1-11111i−ii−i00000000000000000022-2-222-2222-2-2-2-2−2i2i−2i2i-1-111-1-11-1-1-11111i−ii−i00000000000000000022-2-222-2222-2-2-2-2−2i2i−2i2i-1-111-1-11-1-1-11111i−ii−i000000000000000000
χ4322-2-2-222-2-22-2-2222i−2i−2i2i-1-1111-1-111-111-1-1−iii−i00000000000000000022-2-2-222-2-22-2-2222i−2i−2i2i-1-1111-1-111-111-1-1−iii−i00000000000000000022-2-2-222-2-22-2-2222i−2i−2i2i-1-1111-1-111-111-1-1−iii−i000000000000000000
χ4422-2-2-222-2-22-2-222−2i2i2i−2i-1-1111-1-111-111-1-1i−i−ii00000000000000000022-2-2-222-2-22-2-222−2i2i2i−2i-1-1111-1-111-111-1-1i−i−ii00000000000000000022-2-2-222-2-22-2-222−2i2i2i−2i-1-1111-1-111-111-1-1i−i−ii000000000000000000
χ4544444-24-2-2-2-2-2-2-20000-2-2-2-2-21-21111111000000000000000000000044444-24-2-2-2-2-2-2-20000-2-2-2-2-21-21111111000000000000000000000044444-24-2-2-2-2-2-2-20000-2-2-2-2-21-211111110000000000000000000000
χ464444-4-2-422-2-2-2220000-2-2-2-2212-1-1111-1-100000000000000000000004444-4-2-422-2-2-2220000-2-2-2-2212-1-1111-1-100000000000000000000004444-4-2-422-2-2-2220000-2-2-2-2212-1-1111-1-10000000000000000000000
χ4744-4-44-2-4-2-2-222220000-2-222-212111-1-1-1-1000000000000000000000044-4-44-2-4-2-2-222220000-2-222-212111-1-1-1-1000000000000000000000044-4-44-2-4-2-2-222220000-2-222-212111-1-1-1-10000000000000000000000
χ4844-4-4-4-2422-222-2-20000-2-22221-2-1-11-1-111000000000000000000000044-4-4-4-2422-222-2-20000-2-22221-2-1-11-1-111000000000000000000000044-4-4-4-2422-222-2-20000-2-22221-2-1-11-1-1110000000000000000000000
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Here i is the imaginary unit (i² = −1).