Finite Group Databasebeta

← Group #13181259

Character table — Group #13181259

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11112222222222666622224444444444121212123333666666666618181818222244444444441212121244448888888888242424246666121212121212121212123636363633336666666666181818186666121212121212121212123636363699991818181818181818181854545454
order1244234666121212122244361212631266612121212661212224426466612121212224436121263126661212121266121236121263126661212121266121266121266126661212121266121222442646661212121222446612126612666121212126612122244264666121212122244
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
χ31111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-1
χ41111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-11
χ511-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-11
χ611-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-1
χ711-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-1
χ811-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-111
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
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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
χ211111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-1-1-1-1-11-1111-1-1-111-11-111111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-1-1-1-1-11-1111-1-1-111-11-111111-11-1-1-1111-1-11-11-11111-11-1-1-1111-1-11-11-1-1-1-1-11-1111-1-1-111-11-11
χ221111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-11-1-1-1-11-1111-1-1-1111-11-11111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-11-1-1-1-11-1111-1-1-1111-11-11111-11-1-1-1111-1-1-11-111111-11-1-1-1111-1-1-11-11-1-1-1-11-1111-1-1-1111-11-1
χ2311-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-11-1-111-1-11-1-1-11111-111-111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-11-1-111-1-11-1-1-11111-111-111-1-111-1111-1-1-1-11-1-1111-1-111-1111-1-1-1-11-1-11-1-111-1-11-1-1-11111-111-1
χ2411-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-1-1-111-1-11-1-1-111111-1-1111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-1-1-111-1-11-1-1-111111-1-1111-1-111-1111-1-1-1-1-111-111-1-111-1111-1-1-1-1-111-1-1-111-1-11-1-1-111111-1-11
χ2511-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-1-1-1111-1-111-111-1-1-1-11111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-1-1-1111-1-111-111-1-1-1-11111-1-1-111-1-11-1-11111-1-111-1-1-111-1-11-1-11111-1-1-1-1111-1-111-111-1-1-1-111
χ2611-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-111-1-1111-1-111-111-1-111-1-111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-111-1-1111-1-111-111-1-111-1-111-1-1-111-1-11-1-111-1-11111-1-1-111-1-11-1-111-1-111-1-1111-1-111-111-1-111-1-1
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
χ2922-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-111110000-2-222-212111-1-1-1-1000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-111110000-2-222-212111-1-1-1-1000022-2-22-1-2-1-1-11111000022-2-22-1-2-1-1-111110000-2-222-212111-1-1-1-10000
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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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
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χ4222-2-222-2222-2-2-2-2-222-2-1-111-1-11-1-1-111111-1-1100000000000000000022-2-222-2222-2-2-2-2-222-2-1-111-1-11-1-1-111111-1-1100000000000000000022-2-222-2222-2-2-2-2-222-2-1-111-1-11-1-1-111111-1-11000000000000000000
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Here i is the imaginary unit (i² = −1).