Finite Group Databasebeta

← Group #13176544

Character table — Group #13176544

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size1111222222222222222222222244444444444444444444444444444444668888888888888888888888888888888812121212121212121212121212121212121212181818181818181818182424242424242424363636363636365454108108108
order122233333446666666666666663333446666666666661212121212121212121212121212441212121212121212121212121212121212121212121212121212121212121212222666666661212121212121212222244121212126666666646666121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111111-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ6111111111111111111111111111111-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-11
χ7111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-11111-1-111-1-11
χ8111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-111-1
χ9111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-1-1111-1-1
χ10111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-11111-1-1-111
χ11111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-111-1-1-1-1-1-1-111
χ12111111111-1-111111111111111111111-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-1
χ13111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11-11
χ14111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-11111-1-1-111-1-111-11-1
χ15111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11111-11-1
χ16111111111-1-11111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-111-1-1-1-11-11
χ1722222222-1222222-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000222222-1-1-1-1000000002-1-1-1-1-1-100000
χ1822222222-1222222-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000-2-2-2-2-2-2111100000000-211111100000
χ1922222222-1222222-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222111100-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000002222-2-2111100000000-2-1-1-1-11100000
χ2022222222-1222222-122222222-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222111100-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000000-2-2-2-222-1-1-1-10000000021111-1-100000
χ2122222222-1-2-22222-122222222-1-1-1-1-1-12-2-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-2-1-111002222-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000000000000000022-2-222-1-1-1-100000000-2-1-1111100000
χ2222222222-1-2-22222-122222222-1-1-1-1-1-12-2-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-2-1-111002222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000000000000000-2-222-2-2111100000000211-1-1-1-100000
χ2322222222-1-2-22222-122222222-1-1-1-1-1-1-22-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-211-1-100-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1000000000000000000022-2-2-2-21111000000002-1-111-1-100000
χ2422222222-1-2-22222-122222222-1-1-1-1-1-1-22-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-211-1-100-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000000000000000-2-22222-1-1-1-100000000-211-1-11100000
χ2522222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-12222222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-100000000002-1-1-12-1-1-1000000000000
χ2622222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-12222-2-22-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2111111-2-21111110000000000-2111-2111000000000000
χ2722222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-2-2-2-222-2111-211122-1-1-1-1-1-1-2-2111111-2-21111112-2-222-1-1-1-1-1-122-1-1-1-1-1-10000000000-2111-2111000000000000
χ2822222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1-2-22-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2-2111-211122-1-1-1-1-1-1-2-2111111-2-2111111-222-2-2111111-2-211111100000000002-1-1-12-1-1-1000000000000
χ2922222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-1-2-2-2-211111122-2-2222-1-1-1-2111-2-211111122-1-1-1-1-1-1-2-2111111-22-2-2-211111122-1-1-1-1-1-100000000002-1-1-1-2111000000000000
χ3022222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-1-2-2-2-211111122-2-2-2-22-1-1-1-2111-2-211111122-1-1-1-1-1-1-2-21111112-2222-1-1-1-1-1-1-2-21111110000000000-21112-1-1-1000000000000
χ3122222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-222-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-22222-21112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1-2-22-2-211111122-1-1-1-1-1-10000000000-21112-1-1-1000000000000
χ3222222-1-1-12-2-22-1-1-122-1-1-12-1-1-1222-1-1-1-222-1-1-12-1-1-12-1-1-1-2-2-2-2111111-2-222-2-2-21112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-222-1-1-1-1-1-1-2-211111100000000002-1-1-1-2111000000000000
χ332222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-122-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1222222-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-10000000000-12-1-1-12-1-1000000000000
χ342222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-122-12-1-1-12-1-1-12-1-122-1-122-1-1-1-12222-2-2-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-211-2-2111111-2-2111100000000001-2111-211000000000000
χ352222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-2-2-2-2221-2111-211-1-122-1-1-1-111-2-2111111-2-211112-2-2-1-122-1-1-1-1-1-122-1-1-1-100000000001-2111-211000000000000
χ362222-12-1-1222-12-1-12-12-1-1-12-1-122-12-1-1-2-2-12-1-1-12-1-1-12-1-122-1-122-1-1-1-1-2-2-2-2-2-21-2111-211-1-122-1-1-1-111-2-2111111-2-21111-22211-2-2111111-2-211110000000000-12-1-1-12-1-1000000000000
χ372222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-12-2-12-1-1-12-1-1-12-1-1-2-211-2-2111122-2-222-12-1-11-21111-2-21111-1-122-1-1-1-111-2-21111-22-211-2-21111-1-122-1-1-1-10000000000-12-1-11-211000000000000
χ382222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-12-2-12-1-1-12-1-1-12-1-1-2-211-2-2111122-2-2-2-2-12-1-11-21111-2-21111-1-122-1-1-1-111-2-211112-22-1-122-1-1-1-111-2-2111100000000001-211-12-1-1000000000000
χ392222-12-1-12-2-2-12-1-12-12-1-1-12-1-122-12-1-1-22-12-1-1-12-1-1-12-1-1-2-211-2-21111-2-222221-211-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-2-2211-2-21111-1-122-1-1-1-100000000001-211-12-1-1000000000000
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χ422222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-122-1-12-1-1-12-1-1-12-122-1-1-1-122-1-12222-2-2-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-21111-2-2111111-2-211000000000011-2111-21000000000000
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χ442222-1-12-1222-1-12-12-1-12-1-1-12-122-1-12-1-2-2-1-12-1-1-12-1-1-12-122-1-1-1-122-1-1-2-2-2-2-2-211-2111-21-1-1-1-122-1-11111-2-2111111-2-211-2221111-2-2111111-2-2110000000000-1-12-1-1-12-1000000000000
χ452222-1-12-12-2-2-1-12-12-1-12-1-1-12-122-1-12-12-2-1-12-1-1-12-1-1-12-1-2-21111-2-21122-2-222-1-12-111-211111-2-211-1-1-1-122-1-11111-2-211-22-21111-2-211-1-1-1-122-1-10000000000-1-12-111-21000000000000
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χ502222-1-1-12222-1-1-122-1-1-12-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1222222-2-2-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2111111-2-2111111-2-20000000000111-2111-2000000000000
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χ532222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-122-2-1-1-12-1-1-12-1-1-12-2-2111111-2-222-2-222-1-1-12111-2111111-2-2-1-1-1-1-1-122111111-2-2-22-2111111-2-2-1-1-1-1-1-1220000000000-1-1-12111-2000000000000
χ542222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-122-2-1-1-12-1-1-12-1-1-12-2-2111111-2-222-2-2-2-2-1-1-12111-2111111-2-2-1-1-1-1-1-122111111-2-22-22-1-1-1-1-1-122111111-2-20000000000111-2-1-1-12000000000000
χ552222-1-1-122-2-2-1-1-122-1-1-12-1-1-1222-1-1-12-22-1-1-12-1-1-12-1-1-12-2-2111111-2-2-2-22222111-2-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-2-22111111-2-2-1-1-1-1-1-1220000000000111-2-1-1-12000000000000
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χ1304-4-44-2-2-24-24-4222-4-2222-4-2-2-2422111-200-1-1-12111-2-1-1-12-22-22-22-224-423−2323−2300000000001-11-11-1-22−33−33−3323−23−33−33−3323−230000000000000000000000000000000000000000000000000
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χ13488-8-88-4-4-4-4008-4-4-44-8444-8444-44-422200-42224-2-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1418-88-8-4-4-48-400444-84-4-4-48444-84-4222-400-2-2-24-2-2-24222-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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