Finite Group Databasebeta

← Group #13143860

Character table — Group #13143860

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size11111111111122222222222244444444444444466666666666666666666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272
order122233666666444412121212121212122668888242424242424242433336666666666661212121212121212121212121212121266666666121212121212121224242424242424242424242424242424242424242424242424242424242424244444121212121212121224661212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111-1-111-1-1-1-11111-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1
χ6111111111111-1-111-1-1-1-11111-1-1-111-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-111
χ7111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-11-1-111
χ8111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111-111-1-1
χ92222222222222222222222222222222222222222-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
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χ13222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000
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χ15222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111000000000000000000
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χ2122222222222222-2-22222-2-2-2-2-2-2-2000000000000-12-1-1-1-122-1-1-1-1-12-1-11111-2-2-2-21111111111-2-21111-1-122-1-1-1-1−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3000000000000000000
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χ27222222222222-2-222-2-2-2-22222-2-2-222-2-22222-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-21111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000
χ28222222222222-2-222-2-2-2-22222-2-2-222-2-22222-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-11111-2-2111111-2-211-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000000000
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χ31222222222222-2-222-2-2-2-22222-2-2-2-2-222-2-2-2-22222-12-1-1-1-122-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-211111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ32222222222222-2-222-2-2-2-22222-2-2-2-2-222-2-2-2-22222-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-11111-2-2111111-2-21111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000000000000000000
χ33222222222222-2-222-2-2-2-22222-2-2-2-2-222-2-2-2-22222-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-2111111-2-2111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.