Finite Group Databasebeta

← Group #13160980

Character table — Group #13160980

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222222222222444444444444444444444444444488888888888888888888888888888888881212121212121212121212121212121212122424242424242424243636363636365454727272108108108
order122233333446666666666666662233336666666666661212121212121212121266666666666666666666666666121212121212121288242424242424242424242424242424244121212121212121288242424244441212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ511111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-11-1-1
χ611111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ711111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111
χ811111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1
χ9222222222-2-2222222222222222002222222222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000022000-200
χ10222222222-2-2222222222222222002222222222222222-2-2-2-2-2-2-2-2-2-200000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000-2-2000200
χ1122222222-12222222222-1-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000022-1-1-1-1002-1-1000
χ1222222222-12222222222-1-12222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-2-2111100-211000
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χ282222-1-1-12222-1-1-1-1-1-12222-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-122-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-2111111111111-2-2-2-2-2111111-2-200000000000000
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χ392-2-222222-12-2-2-2-2-2-2-2-2-21-1222212-2-1-1-1-111111111-1-1-1-1-1-2-2-2-2222212-22-22-22-2-11-1-111-1-111-1-111-1-111-11-11-11-11000000000000000000000000000003−33−30003−3000
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χ432-2-222-1-1-122-2-2-2111111-222-1-1-1-22-22-1-1-1-2-21111112-1-1-12-21112-1-1-1-22-2-11-11-112-222-2-2-1-111-1-111-1-1112-2-11-11-11000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000−i3i3−i3i3−i3i300000000000000
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Here i is the imaginary unit (i² = −1).