Finite Group Databasebeta

← Group #13154253

Character table — Group #13154253

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size111111111111222222222222222222444444444444666666666666666699999999999912121212121212121212121212121212121212121212121218181818181818181818181818181818181824242424242424242424242424242424363636363636363636363636
order122233666666444444121212121212121212121212244466121212121212333366666666666644441212121212121212121212121212121212121212121212121212121212121212224444666612121212121212126666121212121212121212121212244466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111
χ711111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
χ811111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ9111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1
χ10111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ11111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111
χ12111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1
χ13111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111
χ14111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1
χ15111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-111-1-111-1-1
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11-1-111-1-111
χ172222222222222222222222222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000002-1-1-12-1-1-12-1-1-12-1-1-1000000000000
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χ19222222222222222222222222222222222222222222-1-12-1-1-1-1-1-1-1222-1-1-1000000000000-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000-1-12-1-1-12-1-1-12-1-1-12-1000000000000
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χ2522222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-100000000000022-1-1-1-1-1-1-2-2111111-2-21111110000000000000000002-1-1-12-1-1-1-2111-2111000000000000
χ2622222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1000000000000-1-122-1-1-1-111-2-2111111-2-21111000000000000000000-12-1-1-12-1-11-2111-211000000000000
χ2722222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1000000000000-1-1-1-122-1-11111-2-2111111-2-211000000000000000000-1-12-1-1-12-111-2111-21000000000000
χ2822222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222000000000000-1-1-1-1-1-122111111-2-2111111-2-2000000000000000000-1-1-12-1-1-12111-2111-2000000000000
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χ40222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-22-22-2-222-2-222-1-1-12-1-1-1-1-1-1-1-1-1222000000000000111111-2-2-1-1-1-1-1-122111111-2-2000000000000000000111-2-1-1-12111-2-1-1-12000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.