Finite Group Databasebeta

← Group #13176533

Character table — Group #13176533

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444666612122222444444888888881212121224242222444444888888881212121224242222444444888888881212121224242222444444888888881212121224249999181818181818363636363636363654545454108108
order122234466644121212121212224422366631212666121212121212121266121266366631212666121212121212121266121266366631212666121212121212121266121266366631212666121212121212121266121266222264466644121212121212224422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1
χ41111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ511111-1-11111-1-1-111-1-111-1-11-111111-1-11111-1-1-111-1-111-1-11-111111-1-11111-1-1-111-1-111-1-11-111111-1-11111-1-1-111-1-111-1-11-111111-1-11111-1-1-111-1-111-1-11-111111-1-11111-1-1-111-1-111-1-11-1
χ611111-1-11111-1-1-111-1-1-1-111-1111111-1-11111-1-1-111-1-1-1-111-1111111-1-11111-1-1-111-1-1-1-111-1111111-1-11111-1-1-111-1-1-1-111-1111111-1-11111-1-1-111-1-1-1-111-1111111-1-11111-1-1-111-1-1-1-111-11
χ711111-1-1111-11-1-1-1-11111-1-1-1111111-1-1111-11-1-1-1-11111-1-1-1111111-1-1111-11-1-1-1-11111-1-1-1111111-1-1111-11-1-1-1-11111-1-1-1111111-1-1111-11-1-1-1-11111-1-1-1111111-1-1111-11-1-1-1-11111-1-1-11
χ811111-1-1111-11-1-1-1-111-1-1111-111111-1-1111-11-1-1-1-111-1-1111-111111-1-1111-11-1-1-1-111-1-1111-111111-1-1111-11-1-1-1-111-1-1111-111111-1-1111-11-1-1-1-111-1-1111-111111-1-1111-11-1-1-1-111-1-1111-1
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χ152-22-2200-2-22000000002-200002-22-2200-2-22000000002-200002-22-2200-2-22000000002-200002-22-2200-2-22000000002-200002-22-2200-2-22000000002-200002-22-2200-2-22000000002-20000
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χ212-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−33000000
χ222-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−3000000
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χ25111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ271111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ281111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1
χ2911111-1-11111-1-1-111-1-111-1-11-111111-1-11111-1-1-111-1-111-1-11-111111-1-11111-1-1-111-1-111-1-11-111111-1-11111-1-1-111-1-111-1-11-111111-1-11111-1-1-111-1-111-1-11-1-1-1-1-1-111-1-1-1-1111-1-111-1-111-11
χ3011111-1-11111-1-1-111-1-1-1-111-1111111-1-11111-1-1-111-1-1-1-111-1111111-1-11111-1-1-111-1-1-1-111-1111111-1-11111-1-1-111-1-1-1-111-1111111-1-11111-1-1-111-1-1-1-111-11-1-1-1-1-111-1-1-1-1111-1-11111-1-11-1
χ3111111-1-1111-11-1-1-1-11111-1-1-1111111-1-1111-11-1-1-1-11111-1-1-1111111-1-1111-11-1-1-1-11111-1-1-1111111-1-1111-11-1-1-1-11111-1-1-1111111-1-1111-11-1-1-1-11111-1-1-11-1-1-1-1-111-1-1-11-11111-1-1-1-1111-1
χ3211111-1-1111-11-1-1-1-111-1-1111-111111-1-1111-11-1-1-1-111-1-1111-111111-1-1111-11-1-1-1-111-1-1111-111111-1-1111-11-1-1-1-111-1-1111-111111-1-1111-11-1-1-1-111-1-1111-1-1-1-1-1-111-1-1-11-11111-1-111-1-1-11
χ332222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000-2-2-2-21-2-2111-2-2111111000000
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χ362222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-10000002222-1-2-2-1-1-1-221111-1-1000000-2-2-2-21221112-2-1-1-1-111000000
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χ1448-88-8-40044-400000000000000-44-44200-2-2200000000000000-44-44200-2-2200000000000000-44-44200-2-22000000000000008-88-8-40044-400000000000000000000000000000000000000

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